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Finding the Fourth Proportional to 14,034.66, 19,367.54 and 7,661.04

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Solution

The fourth proportional to 14,034.66, 19,367.54 and 7,661.04 is: 10,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.66 : 19,367.54 = 7,661.04 : x
  2. Step 2: Convert to fraction form
    14,034.66/19,367.54 = 7,661.04/x
  3. Step 3: Cross multiply
    14,034.66x = 19,367.54 × 7,661.04
  4. Step 4: Simplify right side
    14,034.66x = 148,375,460.34
  5. Step 5: Solve for x
    x = 148,375,460.34/14,034.66
  6. Step 6: Final answer
    x = 10,572.07

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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.