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Finding the Fourth Proportional to 10,374.66, 14,283.72 and 9,234.90

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Solution

The fourth proportional to 10,374.66, 14,283.72 and 9,234.90 is: 12,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.66 : 14,283.72 = 9,234.90 : x
  2. Step 2: Convert to fraction form
    10,374.66/14,283.72 = 9,234.90/x
  3. Step 3: Cross multiply
    10,374.66x = 14,283.72 × 9,234.90
  4. Step 4: Simplify right side
    10,374.66x = 131,908,725.83
  5. Step 5: Solve for x
    x = 131,908,725.83/10,374.66
  6. Step 6: Final answer
    x = 12,714.51

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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.