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Finding the Fourth Proportional to 24,745.60, 37,089.60 and 9,947.20

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Solution

The fourth proportional to 24,745.60, 37,089.60 and 9,947.20 is: 14,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,745.60 : 37,089.60 = 9,947.20 : x
  2. Step 2: Convert to fraction form
    24,745.60/37,089.60 = 9,947.20/x
  3. Step 3: Cross multiply
    24,745.60x = 37,089.60 × 9,947.20
  4. Step 4: Simplify right side
    24,745.60x = 368,937,669.12
  5. Step 5: Solve for x
    x = 368,937,669.12/24,745.60
  6. Step 6: Final answer
    x = 14,909.22

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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.