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Finding the Fourth Proportional to 10,045.97, 13,865.06 and 9,603.03

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Solution

The fourth proportional to 10,045.97, 13,865.06 and 9,603.03 is: 13,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.97 : 13,865.06 = 9,603.03 : x
  2. Step 2: Convert to fraction form
    10,045.97/13,865.06 = 9,603.03/x
  3. Step 3: Cross multiply
    10,045.97x = 13,865.06 × 9,603.03
  4. Step 4: Simplify right side
    10,045.97x = 133,146,587.13
  5. Step 5: Solve for x
    x = 133,146,587.13/10,045.97
  6. Step 6: Final answer
    x = 13,253.73

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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.