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Finding the Fourth Proportional to 9,857.87, 13,600.59 and 6,502.34

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Solution

The fourth proportional to 9,857.87, 13,600.59 and 6,502.34 is: 8,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.87 : 13,600.59 = 6,502.34 : x
  2. Step 2: Convert to fraction form
    9,857.87/13,600.59 = 6,502.34/x
  3. Step 3: Cross multiply
    9,857.87x = 13,600.59 × 6,502.34
  4. Step 4: Simplify right side
    9,857.87x = 88,435,592.38
  5. Step 5: Solve for x
    x = 88,435,592.38/9,857.87
  6. Step 6: Final answer
    x = 8,971.07

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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.