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Finding the Fourth Proportional to 9,833.51, 14,754.78 and 4,565.13

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Solution

The fourth proportional to 9,833.51, 14,754.78 and 4,565.13 is: 6,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.51 : 14,754.78 = 4,565.13 : x
  2. Step 2: Convert to fraction form
    9,833.51/14,754.78 = 4,565.13/x
  3. Step 3: Cross multiply
    9,833.51x = 14,754.78 × 4,565.13
  4. Step 4: Simplify right side
    9,833.51x = 67,357,488.82
  5. Step 5: Solve for x
    x = 67,357,488.82/9,833.51
  6. Step 6: Final answer
    x = 6,849.79

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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.