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Finding the Fourth Proportional to 9,853.75, 14,773.66 and 4,583.19

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Solution

The fourth proportional to 9,853.75, 14,773.66 and 4,583.19 is: 6,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.75 : 14,773.66 = 4,583.19 : x
  2. Step 2: Convert to fraction form
    9,853.75/14,773.66 = 4,583.19/x
  3. Step 3: Cross multiply
    9,853.75x = 14,773.66 × 4,583.19
  4. Step 4: Simplify right side
    9,853.75x = 67,710,490.78
  5. Step 5: Solve for x
    x = 67,710,490.78/9,853.75
  6. Step 6: Final answer
    x = 6,871.55

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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.