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Finding the Fourth Proportional to 11,186.57, 15,437.65 and 6,151

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Solution

The fourth proportional to 11,186.57, 15,437.65 and 6,151 is: 8,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.57 : 15,437.65 = 6,151 : x
  2. Step 2: Convert to fraction form
    11,186.57/15,437.65 = 6,151/x
  3. Step 3: Cross multiply
    11,186.57x = 15,437.65 × 6,151
  4. Step 4: Simplify right side
    11,186.57x = 94,956,985.15
  5. Step 5: Solve for x
    x = 94,956,985.15/11,186.57
  6. Step 6: Final answer
    x = 8,488.48

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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.