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Finding the Fourth Proportional to 9,897.59, 13,659.98 and 6,371.06

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Solution

The fourth proportional to 9,897.59, 13,659.98 and 6,371.06 is: 8,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.59 : 13,659.98 = 6,371.06 : x
  2. Step 2: Convert to fraction form
    9,897.59/13,659.98 = 6,371.06/x
  3. Step 3: Cross multiply
    9,897.59x = 13,659.98 × 6,371.06
  4. Step 4: Simplify right side
    9,897.59x = 87,028,452.02
  5. Step 5: Solve for x
    x = 87,028,452.02/9,897.59
  6. Step 6: Final answer
    x = 8,792.89

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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.