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Finding the Fourth Proportional to 11,070, 15,277.56 and 6,102.96

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Solution

The fourth proportional to 11,070, 15,277.56 and 6,102.96 is: 8,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,070 : 15,277.56 = 6,102.96 : x
  2. Step 2: Convert to fraction form
    11,070/15,277.56 = 6,102.96/x
  3. Step 3: Cross multiply
    11,070x = 15,277.56 × 6,102.96
  4. Step 4: Simplify right side
    11,070x = 93,238,337.58
  5. Step 5: Solve for x
    x = 93,238,337.58/11,070
  6. Step 6: Final answer
    x = 8,422.61

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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.