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Finding the Fourth Proportional to 10,014.70, 15,022.05 and 9,588.10

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Solution

The fourth proportional to 10,014.70, 15,022.05 and 9,588.10 is: 14,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.70 : 15,022.05 = 9,588.10 : x
  2. Step 2: Convert to fraction form
    10,014.70/15,022.05 = 9,588.10/x
  3. Step 3: Cross multiply
    10,014.70x = 15,022.05 × 9,588.10
  4. Step 4: Simplify right side
    10,014.70x = 144,032,917.61
  5. Step 5: Solve for x
    x = 144,032,917.61/10,014.70
  6. Step 6: Final answer
    x = 14,382.15

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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.