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Finding the Fourth Proportional to 6,711.60, 10,063.40 and 4,116.40

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Solution

The fourth proportional to 6,711.60, 10,063.40 and 4,116.40 is: 6,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.60 : 10,063.40 = 4,116.40 : x
  2. Step 2: Convert to fraction form
    6,711.60/10,063.40 = 4,116.40/x
  3. Step 3: Cross multiply
    6,711.60x = 10,063.40 × 4,116.40
  4. Step 4: Simplify right side
    6,711.60x = 41,424,979.76
  5. Step 5: Solve for x
    x = 41,424,979.76/6,711.60
  6. Step 6: Final answer
    x = 6,172.15

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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.