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Finding the Fourth Proportional to 6,134.60, 8,569 and 6,134.60

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Solution

The fourth proportional to 6,134.60, 8,569 and 6,134.60 is: 8,569

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.60 : 8,569 = 6,134.60 : x
  2. Step 2: Convert to fraction form
    6,134.60/8,569 = 6,134.60/x
  3. Step 3: Cross multiply
    6,134.60x = 8,569 × 6,134.60
  4. Step 4: Simplify right side
    6,134.60x = 52,567,387.40
  5. Step 5: Solve for x
    x = 52,567,387.40/6,134.60
  6. Step 6: Final answer
    x = 8,569

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.