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Finding the Fourth Proportional to 10,761.14, 14,849.97 and 6,045.32

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Solution

The fourth proportional to 10,761.14, 14,849.97 and 6,045.32 is: 8,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.14 : 14,849.97 = 6,045.32 : x
  2. Step 2: Convert to fraction form
    10,761.14/14,849.97 = 6,045.32/x
  3. Step 3: Cross multiply
    10,761.14x = 14,849.97 × 6,045.32
  4. Step 4: Simplify right side
    10,761.14x = 89,772,820.64
  5. Step 5: Solve for x
    x = 89,772,820.64/10,761.14
  6. Step 6: Final answer
    x = 8,342.32

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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.