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Finding the Fourth Proportional to 7,123.84, 10,686.22 and 2,741.29

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Solution

The fourth proportional to 7,123.84, 10,686.22 and 2,741.29 is: 4,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.84 : 10,686.22 = 2,741.29 : x
  2. Step 2: Convert to fraction form
    7,123.84/10,686.22 = 2,741.29/x
  3. Step 3: Cross multiply
    7,123.84x = 10,686.22 × 2,741.29
  4. Step 4: Simplify right side
    7,123.84x = 29,294,050.71
  5. Step 5: Solve for x
    x = 29,294,050.71/7,123.84
  6. Step 6: Final answer
    x = 4,112.12

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1.5x scale

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.