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Finding the Fourth Proportional to 24,966.29, 37,448.19 and 9,170.10

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Solution

The fourth proportional to 24,966.29, 37,448.19 and 9,170.10 is: 13,754.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,966.29 : 37,448.19 = 9,170.10 : x
  2. Step 2: Convert to fraction form
    24,966.29/37,448.19 = 9,170.10/x
  3. Step 3: Cross multiply
    24,966.29x = 37,448.19 × 9,170.10
  4. Step 4: Simplify right side
    24,966.29x = 343,403,647.12
  5. Step 5: Solve for x
    x = 343,403,647.12/24,966.29
  6. Step 6: Final answer
    x = 13,754.69

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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.