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Finding the Fourth Proportional to 9,614.10, 14,421.15 and 7,281.30

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Solution

The fourth proportional to 9,614.10, 14,421.15 and 7,281.30 is: 10,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.10 : 14,421.15 = 7,281.30 : x
  2. Step 2: Convert to fraction form
    9,614.10/14,421.15 = 7,281.30/x
  3. Step 3: Cross multiply
    9,614.10x = 14,421.15 × 7,281.30
  4. Step 4: Simplify right side
    9,614.10x = 105,004,719.50
  5. Step 5: Solve for x
    x = 105,004,719.50/9,614.10
  6. Step 6: Final answer
    x = 10,921.95

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.