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Finding the Fourth Proportional to 10,530.98, 15,796.47 and 7,234.08

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Solution

The fourth proportional to 10,530.98, 15,796.47 and 7,234.08 is: 10,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.98 : 15,796.47 = 7,234.08 : x
  2. Step 2: Convert to fraction form
    10,530.98/15,796.47 = 7,234.08/x
  3. Step 3: Cross multiply
    10,530.98x = 15,796.47 × 7,234.08
  4. Step 4: Simplify right side
    10,530.98x = 114,272,854.90
  5. Step 5: Solve for x
    x = 114,272,854.90/10,530.98
  6. Step 6: Final answer
    x = 10,851.11

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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.