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Finding the Fourth Proportional to 10,597.77, 14,626.17 and 5,882.36

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Solution

The fourth proportional to 10,597.77, 14,626.17 and 5,882.36 is: 8,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.77 : 14,626.17 = 5,882.36 : x
  2. Step 2: Convert to fraction form
    10,597.77/14,626.17 = 5,882.36/x
  3. Step 3: Cross multiply
    10,597.77x = 14,626.17 × 5,882.36
  4. Step 4: Simplify right side
    10,597.77x = 86,036,324.23
  5. Step 5: Solve for x
    x = 86,036,324.23/10,597.77
  6. Step 6: Final answer
    x = 8,118.34

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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.