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Finding the Fourth Proportional to 11,597.01, 15,997.95 and 7,340.88

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Solution

The fourth proportional to 11,597.01, 15,997.95 and 7,340.88 is: 10,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.01 : 15,997.95 = 7,340.88 : x
  2. Step 2: Convert to fraction form
    11,597.01/15,997.95 = 7,340.88/x
  3. Step 3: Cross multiply
    11,597.01x = 15,997.95 × 7,340.88
  4. Step 4: Simplify right side
    11,597.01x = 117,439,031.20
  5. Step 5: Solve for x
    x = 117,439,031.20/11,597.01
  6. Step 6: Final answer
    x = 10,126.66

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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.