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Finding the Fourth Proportional to 6,710.80, 10,056.48 and 6,500.20

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Solution

The fourth proportional to 6,710.80, 10,056.48 and 6,500.20 is: 9,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.80 : 10,056.48 = 6,500.20 : x
  2. Step 2: Convert to fraction form
    6,710.80/10,056.48 = 6,500.20/x
  3. Step 3: Cross multiply
    6,710.80x = 10,056.48 × 6,500.20
  4. Step 4: Simplify right side
    6,710.80x = 65,369,131.30
  5. Step 5: Solve for x
    x = 65,369,131.30/6,710.80
  6. Step 6: Final answer
    x = 9,740.89

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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.