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Finding the Fourth Proportional to 29,462.86, 44,184.89 and 9,737.74

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Solution

The fourth proportional to 29,462.86, 44,184.89 and 9,737.74 is: 14,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462.86 : 44,184.89 = 9,737.74 : x
  2. Step 2: Convert to fraction form
    29,462.86/44,184.89 = 9,737.74/x
  3. Step 3: Cross multiply
    29,462.86x = 44,184.89 × 9,737.74
  4. Step 4: Simplify right side
    29,462.86x = 430,260,970.75
  5. Step 5: Solve for x
    x = 430,260,970.75/29,462.86
  6. Step 6: Final answer
    x = 14,603.50

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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.