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Finding the Fourth Proportional to 10,597.77, 14,625.09 and 5,882.07

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Solution

The fourth proportional to 10,597.77, 14,625.09 and 5,882.07 is: 8,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.77 : 14,625.09 = 5,882.07 : x
  2. Step 2: Convert to fraction form
    10,597.77/14,625.09 = 5,882.07/x
  3. Step 3: Cross multiply
    10,597.77x = 14,625.09 × 5,882.07
  4. Step 4: Simplify right side
    10,597.77x = 86,025,803.14
  5. Step 5: Solve for x
    x = 86,025,803.14/10,597.77
  6. Step 6: Final answer
    x = 8,117.35

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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.