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Finding the Fourth Proportional to 9,830.66, 13,566.28 and 5,638.88

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Solution

The fourth proportional to 9,830.66, 13,566.28 and 5,638.88 is: 7,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.66 : 13,566.28 = 5,638.88 : x
  2. Step 2: Convert to fraction form
    9,830.66/13,566.28 = 5,638.88/x
  3. Step 3: Cross multiply
    9,830.66x = 13,566.28 × 5,638.88
  4. Step 4: Simplify right side
    9,830.66x = 76,498,543.04
  5. Step 5: Solve for x
    x = 76,498,543.04/9,830.66
  6. Step 6: Final answer
    x = 7,781.63

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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.