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Finding the Fourth Proportional to 7,773.68, 10,735.28 and 6,648.08

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Solution

The fourth proportional to 7,773.68, 10,735.28 and 6,648.08 is: 9,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.68 : 10,735.28 = 6,648.08 : x
  2. Step 2: Convert to fraction form
    7,773.68/10,735.28 = 6,648.08/x
  3. Step 3: Cross multiply
    7,773.68x = 10,735.28 × 6,648.08
  4. Step 4: Simplify right side
    7,773.68x = 71,369,000.26
  5. Step 5: Solve for x
    x = 71,369,000.26/7,773.68
  6. Step 6: Final answer
    x = 9,180.85

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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.