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Finding the Fourth Proportional to 15,913.68, 23,870.52 and 7,147.92

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Solution

The fourth proportional to 15,913.68, 23,870.52 and 7,147.92 is: 10,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.68 : 23,870.52 = 7,147.92 : x
  2. Step 2: Convert to fraction form
    15,913.68/23,870.52 = 7,147.92/x
  3. Step 3: Cross multiply
    15,913.68x = 23,870.52 × 7,147.92
  4. Step 4: Simplify right side
    15,913.68x = 170,624,567.32
  5. Step 5: Solve for x
    x = 170,624,567.32/15,913.68
  6. Step 6: Final answer
    x = 10,721.88

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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.