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Finding the Fourth Proportional to 10,494.48, 15,737.52 and 4,647.12

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Solution

The fourth proportional to 10,494.48, 15,737.52 and 4,647.12 is: 6,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.48 : 15,737.52 = 4,647.12 : x
  2. Step 2: Convert to fraction form
    10,494.48/15,737.52 = 4,647.12/x
  3. Step 3: Cross multiply
    10,494.48x = 15,737.52 × 4,647.12
  4. Step 4: Simplify right side
    10,494.48x = 73,134,143.94
  5. Step 5: Solve for x
    x = 73,134,143.94/10,494.48
  6. Step 6: Final answer
    x = 6,968.82

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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.