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Finding the Fourth Proportional to 8,534.70, 11,788.47 and 6,569.10

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Solution

The fourth proportional to 8,534.70, 11,788.47 and 6,569.10 is: 9,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.70 : 11,788.47 = 6,569.10 : x
  2. Step 2: Convert to fraction form
    8,534.70/11,788.47 = 6,569.10/x
  3. Step 3: Cross multiply
    8,534.70x = 11,788.47 × 6,569.10
  4. Step 4: Simplify right side
    8,534.70x = 77,439,638.28
  5. Step 5: Solve for x
    x = 77,439,638.28/8,534.70
  6. Step 6: Final answer
    x = 9,073.50

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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.