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Finding the Fourth Proportional to 6,747.60, 9,284.04 and 6,592.08

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Solution

The fourth proportional to 6,747.60, 9,284.04 and 6,592.08 is: 9,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.60 : 9,284.04 = 6,592.08 : x
  2. Step 2: Convert to fraction form
    6,747.60/9,284.04 = 6,592.08/x
  3. Step 3: Cross multiply
    6,747.60x = 9,284.04 × 6,592.08
  4. Step 4: Simplify right side
    6,747.60x = 61,201,134.40
  5. Step 5: Solve for x
    x = 61,201,134.40/6,747.60
  6. Step 6: Final answer
    x = 9,070.06

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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.