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Finding the Fourth Proportional to 9,666.60, 14,499.90 and 6,167.40

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Solution

The fourth proportional to 9,666.60, 14,499.90 and 6,167.40 is: 9,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.60 : 14,499.90 = 6,167.40 : x
  2. Step 2: Convert to fraction form
    9,666.60/14,499.90 = 6,167.40/x
  3. Step 3: Cross multiply
    9,666.60x = 14,499.90 × 6,167.40
  4. Step 4: Simplify right side
    9,666.60x = 89,426,683.26
  5. Step 5: Solve for x
    x = 89,426,683.26/9,666.60
  6. Step 6: Final answer
    x = 9,251.10

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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.