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Finding the Fourth Proportional to 10,374.30, 14,311.08 and 6,595.38

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Solution

The fourth proportional to 10,374.30, 14,311.08 and 6,595.38 is: 9,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.30 : 14,311.08 = 6,595.38 : x
  2. Step 2: Convert to fraction form
    10,374.30/14,311.08 = 6,595.38/x
  3. Step 3: Cross multiply
    10,374.30x = 14,311.08 × 6,595.38
  4. Step 4: Simplify right side
    10,374.30x = 94,387,010.81
  5. Step 5: Solve for x
    x = 94,387,010.81/10,374.30
  6. Step 6: Final answer
    x = 9,098.16

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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.