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Finding the Fourth Proportional to 7,000.80, 9,657.60 and 6,500.56

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Solution

The fourth proportional to 7,000.80, 9,657.60 and 6,500.56 is: 8,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.80 : 9,657.60 = 6,500.56 : x
  2. Step 2: Convert to fraction form
    7,000.80/9,657.60 = 6,500.56/x
  3. Step 3: Cross multiply
    7,000.80x = 9,657.60 × 6,500.56
  4. Step 4: Simplify right side
    7,000.80x = 62,779,808.26
  5. Step 5: Solve for x
    x = 62,779,808.26/7,000.80
  6. Step 6: Final answer
    x = 8,967.52

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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.