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Finding the Fourth Proportional to 10,171.65, 14,036.49 and 5,922.48

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Solution

The fourth proportional to 10,171.65, 14,036.49 and 5,922.48 is: 8,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.65 : 14,036.49 = 5,922.48 : x
  2. Step 2: Convert to fraction form
    10,171.65/14,036.49 = 5,922.48/x
  3. Step 3: Cross multiply
    10,171.65x = 14,036.49 × 5,922.48
  4. Step 4: Simplify right side
    10,171.65x = 83,130,831.30
  5. Step 5: Solve for x
    x = 83,130,831.30/10,171.65
  6. Step 6: Final answer
    x = 8,172.80

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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.