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Finding the Fourth Proportional to 10,921.03, 15,070.46 and 6,883.18

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Solution

The fourth proportional to 10,921.03, 15,070.46 and 6,883.18 is: 9,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.03 : 15,070.46 = 6,883.18 : x
  2. Step 2: Convert to fraction form
    10,921.03/15,070.46 = 6,883.18/x
  3. Step 3: Cross multiply
    10,921.03x = 15,070.46 × 6,883.18
  4. Step 4: Simplify right side
    10,921.03x = 103,732,616.77
  5. Step 5: Solve for x
    x = 103,732,616.77/10,921.03
  6. Step 6: Final answer
    x = 9,498.43

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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.