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Finding the Fourth Proportional to 5,713.12, 8,569.68 and 2,013.40

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Solution

The fourth proportional to 5,713.12, 8,569.68 and 2,013.40 is: 3,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.12 : 8,569.68 = 2,013.40 : x
  2. Step 2: Convert to fraction form
    5,713.12/8,569.68 = 2,013.40/x
  3. Step 3: Cross multiply
    5,713.12x = 8,569.68 × 2,013.40
  4. Step 4: Simplify right side
    5,713.12x = 17,254,193.71
  5. Step 5: Solve for x
    x = 17,254,193.71/5,713.12
  6. Step 6: Final answer
    x = 3,020.10

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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.