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Finding the Fourth Proportional to 15,709.68, 23,565.44 and 5,848.16

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Solution

The fourth proportional to 15,709.68, 23,565.44 and 5,848.16 is: 8,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.68 : 23,565.44 = 5,848.16 : x
  2. Step 2: Convert to fraction form
    15,709.68/23,565.44 = 5,848.16/x
  3. Step 3: Cross multiply
    15,709.68x = 23,565.44 × 5,848.16
  4. Step 4: Simplify right side
    15,709.68x = 137,814,463.59
  5. Step 5: Solve for x
    x = 137,814,463.59/15,709.68
  6. Step 6: Final answer
    x = 8,772.58

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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.