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Finding the Fourth Proportional to 25,082.31, 37,624.27 and 9,291.32

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Solution

The fourth proportional to 25,082.31, 37,624.27 and 9,291.32 is: 13,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,082.31 : 37,624.27 = 9,291.32 : x
  2. Step 2: Convert to fraction form
    25,082.31/37,624.27 = 9,291.32/x
  3. Step 3: Cross multiply
    25,082.31x = 37,624.27 × 9,291.32
  4. Step 4: Simplify right side
    25,082.31x = 349,579,132.34
  5. Step 5: Solve for x
    x = 349,579,132.34/25,082.31
  6. Step 6: Final answer
    x = 13,937.28

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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.