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Finding the Fourth Proportional to 8,524.52, 12,710.29 and 8,369

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Solution

The fourth proportional to 8,524.52, 12,710.29 and 8,369 is: 12,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.52 : 12,710.29 = 8,369 : x
  2. Step 2: Convert to fraction form
    8,524.52/12,710.29 = 8,369/x
  3. Step 3: Cross multiply
    8,524.52x = 12,710.29 × 8,369
  4. Step 4: Simplify right side
    8,524.52x = 106,372,417.01
  5. Step 5: Solve for x
    x = 106,372,417.01/8,524.52
  6. Step 6: Final answer
    x = 12,478.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.