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Finding the Fourth Proportional to 19,574.78, 27,013.05 and 10,622.05

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Solution

The fourth proportional to 19,574.78, 27,013.05 and 10,622.05 is: 14,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.78 : 27,013.05 = 10,622.05 : x
  2. Step 2: Convert to fraction form
    19,574.78/27,013.05 = 10,622.05/x
  3. Step 3: Cross multiply
    19,574.78x = 27,013.05 × 10,622.05
  4. Step 4: Simplify right side
    19,574.78x = 286,933,967.75
  5. Step 5: Solve for x
    x = 286,933,967.75/19,574.78
  6. Step 6: Final answer
    x = 14,658.35

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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.