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Finding the Fourth Proportional to 10,701.12, 14,765.44 and 5,985.28

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Solution

The fourth proportional to 10,701.12, 14,765.44 and 5,985.28 is: 8,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.12 : 14,765.44 = 5,985.28 : x
  2. Step 2: Convert to fraction form
    10,701.12/14,765.44 = 5,985.28/x
  3. Step 3: Cross multiply
    10,701.12x = 14,765.44 × 5,985.28
  4. Step 4: Simplify right side
    10,701.12x = 88,375,292.72
  5. Step 5: Solve for x
    x = 88,375,292.72/10,701.12
  6. Step 6: Final answer
    x = 8,258.51

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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.