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Finding the Fourth Proportional to 4,681.40, 7,022.10 and 4,171.10

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Solution

The fourth proportional to 4,681.40, 7,022.10 and 4,171.10 is: 6,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.40 : 7,022.10 = 4,171.10 : x
  2. Step 2: Convert to fraction form
    4,681.40/7,022.10 = 4,171.10/x
  3. Step 3: Cross multiply
    4,681.40x = 7,022.10 × 4,171.10
  4. Step 4: Simplify right side
    4,681.40x = 29,289,881.31
  5. Step 5: Solve for x
    x = 29,289,881.31/4,681.40
  6. Step 6: Final answer
    x = 6,256.65

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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.