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Finding the Fourth Proportional to 10,588.05, 15,882.08 and 9,458.10

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Solution

The fourth proportional to 10,588.05, 15,882.08 and 9,458.10 is: 14,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.05 : 15,882.08 = 9,458.10 : x
  2. Step 2: Convert to fraction form
    10,588.05/15,882.08 = 9,458.10/x
  3. Step 3: Cross multiply
    10,588.05x = 15,882.08 × 9,458.10
  4. Step 4: Simplify right side
    10,588.05x = 150,214,253.56
  5. Step 5: Solve for x
    x = 150,214,253.56/10,588.05
  6. Step 6: Final answer
    x = 14,187.15

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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.