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Finding the Fourth Proportional to 11,463.12, 15,830.03 and 7,493.72

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Solution

The fourth proportional to 11,463.12, 15,830.03 and 7,493.72 is: 10,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.12 : 15,830.03 = 7,493.72 : x
  2. Step 2: Convert to fraction form
    11,463.12/15,830.03 = 7,493.72/x
  3. Step 3: Cross multiply
    11,463.12x = 15,830.03 × 7,493.72
  4. Step 4: Simplify right side
    11,463.12x = 118,625,752.00
  5. Step 5: Solve for x
    x = 118,625,752.00/11,463.12
  6. Step 6: Final answer
    x = 10,348.47

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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.