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Finding the Fourth Proportional to 11,472.64, 15,820.80 and 7,283.20

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Solution

The fourth proportional to 11,472.64, 15,820.80 and 7,283.20 is: 10,043.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.64 : 15,820.80 = 7,283.20 : x
  2. Step 2: Convert to fraction form
    11,472.64/15,820.80 = 7,283.20/x
  3. Step 3: Cross multiply
    11,472.64x = 15,820.80 × 7,283.20
  4. Step 4: Simplify right side
    11,472.64x = 115,226,050.56
  5. Step 5: Solve for x
    x = 115,226,050.56/11,472.64
  6. Step 6: Final answer
    x = 10,043.55

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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.