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Finding the Fourth Proportional to 10,759.32, 16,138.98 and 4,599

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Solution

The fourth proportional to 10,759.32, 16,138.98 and 4,599 is: 6,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.32 : 16,138.98 = 4,599 : x
  2. Step 2: Convert to fraction form
    10,759.32/16,138.98 = 4,599/x
  3. Step 3: Cross multiply
    10,759.32x = 16,138.98 × 4,599
  4. Step 4: Simplify right side
    10,759.32x = 74,223,169.02
  5. Step 5: Solve for x
    x = 74,223,169.02/10,759.32
  6. Step 6: Final answer
    x = 6,898.50

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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.