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Finding the Fourth Proportional to 9,162.64, 12,644.48 and 4,970.92

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Solution

The fourth proportional to 9,162.64, 12,644.48 and 4,970.92 is: 6,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.64 : 12,644.48 = 4,970.92 : x
  2. Step 2: Convert to fraction form
    9,162.64/12,644.48 = 4,970.92/x
  3. Step 3: Cross multiply
    9,162.64x = 12,644.48 × 4,970.92
  4. Step 4: Simplify right side
    9,162.64x = 62,854,698.52
  5. Step 5: Solve for x
    x = 62,854,698.52/9,162.64
  6. Step 6: Final answer
    x = 6,859.89

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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.