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Finding the Fourth Proportional to 9,859.50, 13,598.01 and 8,371.26

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Solution

The fourth proportional to 9,859.50, 13,598.01 and 8,371.26 is: 11,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.50 : 13,598.01 = 8,371.26 : x
  2. Step 2: Convert to fraction form
    9,859.50/13,598.01 = 8,371.26/x
  3. Step 3: Cross multiply
    9,859.50x = 13,598.01 × 8,371.26
  4. Step 4: Simplify right side
    9,859.50x = 113,832,477.19
  5. Step 5: Solve for x
    x = 113,832,477.19/9,859.50
  6. Step 6: Final answer
    x = 11,545.46

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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.