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Finding the Fourth Proportional to 9,701.84, 13,388.24 and 5,723.20

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Solution

The fourth proportional to 9,701.84, 13,388.24 and 5,723.20 is: 7,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.84 : 13,388.24 = 5,723.20 : x
  2. Step 2: Convert to fraction form
    9,701.84/13,388.24 = 5,723.20/x
  3. Step 3: Cross multiply
    9,701.84x = 13,388.24 × 5,723.20
  4. Step 4: Simplify right side
    9,701.84x = 76,623,575.17
  5. Step 5: Solve for x
    x = 76,623,575.17/9,701.84
  6. Step 6: Final answer
    x = 7,897.84

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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.