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Finding the Fourth Proportional to 6,807.68, 10,220.16 and 5,788.16

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Solution

The fourth proportional to 6,807.68, 10,220.16 and 5,788.16 is: 8,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.68 : 10,220.16 = 5,788.16 : x
  2. Step 2: Convert to fraction form
    6,807.68/10,220.16 = 5,788.16/x
  3. Step 3: Cross multiply
    6,807.68x = 10,220.16 × 5,788.16
  4. Step 4: Simplify right side
    6,807.68x = 59,155,921.31
  5. Step 5: Solve for x
    x = 59,155,921.31/6,807.68
  6. Step 6: Final answer
    x = 8,689.59

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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.