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Finding the Fourth Proportional to 24,417.96, 36,629.64 and 7,772.16

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Solution

The fourth proportional to 24,417.96, 36,629.64 and 7,772.16 is: 11,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.96 : 36,629.64 = 7,772.16 : x
  2. Step 2: Convert to fraction form
    24,417.96/36,629.64 = 7,772.16/x
  3. Step 3: Cross multiply
    24,417.96x = 36,629.64 × 7,772.16
  4. Step 4: Simplify right side
    24,417.96x = 284,691,422.82
  5. Step 5: Solve for x
    x = 284,691,422.82/24,417.96
  6. Step 6: Final answer
    x = 11,659.10

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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.