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Finding the Fourth Proportional to 6,144.70, 9,210.14 and 2,445.92

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Solution

The fourth proportional to 6,144.70, 9,210.14 and 2,445.92 is: 3,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.70 : 9,210.14 = 2,445.92 : x
  2. Step 2: Convert to fraction form
    6,144.70/9,210.14 = 2,445.92/x
  3. Step 3: Cross multiply
    6,144.70x = 9,210.14 × 2,445.92
  4. Step 4: Simplify right side
    6,144.70x = 22,527,265.63
  5. Step 5: Solve for x
    x = 22,527,265.63/6,144.70
  6. Step 6: Final answer
    x = 3,666.13

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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.