Home / 10,282-14,184.72-6,301.60

Finding the Fourth Proportional to 10,282, 14,184.72 and 6,301.60

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Solution

The fourth proportional to 10,282, 14,184.72 and 6,301.60 is: 8,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282 : 14,184.72 = 6,301.60 : x
  2. Step 2: Convert to fraction form
    10,282/14,184.72 = 6,301.60/x
  3. Step 3: Cross multiply
    10,282x = 14,184.72 × 6,301.60
  4. Step 4: Simplify right side
    10,282x = 89,386,431.55
  5. Step 5: Solve for x
    x = 89,386,431.55/10,282
  6. Step 6: Final answer
    x = 8,693.49

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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.