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Finding the Fourth Proportional to 9,162.61, 12,644.42 and 4,970.86

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Solution

The fourth proportional to 9,162.61, 12,644.42 and 4,970.86 is: 6,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.61 : 12,644.42 = 4,970.86 : x
  2. Step 2: Convert to fraction form
    9,162.61/12,644.42 = 4,970.86/x
  3. Step 3: Cross multiply
    9,162.61x = 12,644.42 × 4,970.86
  4. Step 4: Simplify right side
    9,162.61x = 62,853,647.54
  5. Step 5: Solve for x
    x = 62,853,647.54/9,162.61
  6. Step 6: Final answer
    x = 6,859.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.