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Finding the Fourth Proportional to 10,374.16, 14,311.71 and 6,393.82

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Solution

The fourth proportional to 10,374.16, 14,311.71 and 6,393.82 is: 8,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.16 : 14,311.71 = 6,393.82 : x
  2. Step 2: Convert to fraction form
    10,374.16/14,311.71 = 6,393.82/x
  3. Step 3: Cross multiply
    10,374.16x = 14,311.71 × 6,393.82
  4. Step 4: Simplify right side
    10,374.16x = 91,506,497.63
  5. Step 5: Solve for x
    x = 91,506,497.63/10,374.16
  6. Step 6: Final answer
    x = 8,820.62

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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.