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Finding the Fourth Proportional to 11,493.32, 15,870.87 and 7,251.93

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Solution

The fourth proportional to 11,493.32, 15,870.87 and 7,251.93 is: 10,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.32 : 15,870.87 = 7,251.93 : x
  2. Step 2: Convert to fraction form
    11,493.32/15,870.87 = 7,251.93/x
  3. Step 3: Cross multiply
    11,493.32x = 15,870.87 × 7,251.93
  4. Step 4: Simplify right side
    11,493.32x = 115,094,438.28
  5. Step 5: Solve for x
    x = 115,094,438.28/11,493.32
  6. Step 6: Final answer
    x = 10,014.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.