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Finding the Fourth Proportional to 9,875.53, 13,614.10 and 8,175.07

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Solution

The fourth proportional to 9,875.53, 13,614.10 and 8,175.07 is: 11,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.53 : 13,614.10 = 8,175.07 : x
  2. Step 2: Convert to fraction form
    9,875.53/13,614.10 = 8,175.07/x
  3. Step 3: Cross multiply
    9,875.53x = 13,614.10 × 8,175.07
  4. Step 4: Simplify right side
    9,875.53x = 111,296,220.49
  5. Step 5: Solve for x
    x = 111,296,220.49/9,875.53
  6. Step 6: Final answer
    x = 11,269.90

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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.