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Finding the Fourth Proportional to 9,160, 13,740.66 and 6,710.32

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Solution

The fourth proportional to 9,160, 13,740.66 and 6,710.32 is: 10,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160 : 13,740.66 = 6,710.32 : x
  2. Step 2: Convert to fraction form
    9,160/13,740.66 = 6,710.32/x
  3. Step 3: Cross multiply
    9,160x = 13,740.66 × 6,710.32
  4. Step 4: Simplify right side
    9,160x = 92,204,225.61
  5. Step 5: Solve for x
    x = 92,204,225.61/9,160
  6. Step 6: Final answer
    x = 10,065.96

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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.