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Finding the Fourth Proportional to 11,498.60, 15,868.64 and 6,462.56

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Solution

The fourth proportional to 11,498.60, 15,868.64 and 6,462.56 is: 8,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.60 : 15,868.64 = 6,462.56 : x
  2. Step 2: Convert to fraction form
    11,498.60/15,868.64 = 6,462.56/x
  3. Step 3: Cross multiply
    11,498.60x = 15,868.64 × 6,462.56
  4. Step 4: Simplify right side
    11,498.60x = 102,552,038.12
  5. Step 5: Solve for x
    x = 102,552,038.12/11,498.60
  6. Step 6: Final answer
    x = 8,918.65

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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.