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Finding the Fourth Proportional to 12,140.34, 16,753.65 and 6,834.90

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Solution

The fourth proportional to 12,140.34, 16,753.65 and 6,834.90 is: 9,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.34 : 16,753.65 = 6,834.90 : x
  2. Step 2: Convert to fraction form
    12,140.34/16,753.65 = 6,834.90/x
  3. Step 3: Cross multiply
    12,140.34x = 16,753.65 × 6,834.90
  4. Step 4: Simplify right side
    12,140.34x = 114,509,522.39
  5. Step 5: Solve for x
    x = 114,509,522.39/12,140.34
  6. Step 6: Final answer
    x = 9,432.15

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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.