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Finding the Fourth Proportional to 19,774.13, 29,666.05 and 5,923.13

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Solution

The fourth proportional to 19,774.13, 29,666.05 and 5,923.13 is: 8,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.13 : 29,666.05 = 5,923.13 : x
  2. Step 2: Convert to fraction form
    19,774.13/29,666.05 = 5,923.13/x
  3. Step 3: Cross multiply
    19,774.13x = 29,666.05 × 5,923.13
  4. Step 4: Simplify right side
    19,774.13x = 175,715,707.60
  5. Step 5: Solve for x
    x = 175,715,707.60/19,774.13
  6. Step 6: Final answer
    x = 8,886.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.