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Finding the Fourth Proportional to 9,857.56, 13,599.54 and 6,502

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Solution

The fourth proportional to 9,857.56, 13,599.54 and 6,502 is: 8,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.56 : 13,599.54 = 6,502 : x
  2. Step 2: Convert to fraction form
    9,857.56/13,599.54 = 6,502/x
  3. Step 3: Cross multiply
    9,857.56x = 13,599.54 × 6,502
  4. Step 4: Simplify right side
    9,857.56x = 88,424,209.08
  5. Step 5: Solve for x
    x = 88,424,209.08/9,857.56
  6. Step 6: Final answer
    x = 8,970.19

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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.