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Finding the Fourth Proportional to 7,772.16, 11,652.48 and 4,693.44

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Solution

The fourth proportional to 7,772.16, 11,652.48 and 4,693.44 is: 7,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.16 : 11,652.48 = 4,693.44 : x
  2. Step 2: Convert to fraction form
    7,772.16/11,652.48 = 4,693.44/x
  3. Step 3: Cross multiply
    7,772.16x = 11,652.48 × 4,693.44
  4. Step 4: Simplify right side
    7,772.16x = 54,690,215.73
  5. Step 5: Solve for x
    x = 54,690,215.73/7,772.16
  6. Step 6: Final answer
    x = 7,036.68

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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.