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Finding the Fourth Proportional to 15,675.84, 23,517.72 and 6,913.20

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Solution

The fourth proportional to 15,675.84, 23,517.72 and 6,913.20 is: 10,371.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.84 : 23,517.72 = 6,913.20 : x
  2. Step 2: Convert to fraction form
    15,675.84/23,517.72 = 6,913.20/x
  3. Step 3: Cross multiply
    15,675.84x = 23,517.72 × 6,913.20
  4. Step 4: Simplify right side
    15,675.84x = 162,582,701.90
  5. Step 5: Solve for x
    x = 162,582,701.90/15,675.84
  6. Step 6: Final answer
    x = 10,371.55

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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.