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Finding the Fourth Proportional to 10,427, 14,393.88 and 6,655.12

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Solution

The fourth proportional to 10,427, 14,393.88 and 6,655.12 is: 9,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427 : 14,393.88 = 6,655.12 : x
  2. Step 2: Convert to fraction form
    10,427/14,393.88 = 6,655.12/x
  3. Step 3: Cross multiply
    10,427x = 14,393.88 × 6,655.12
  4. Step 4: Simplify right side
    10,427x = 95,792,998.67
  5. Step 5: Solve for x
    x = 95,792,998.67/10,427
  6. Step 6: Final answer
    x = 9,187.01

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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.