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Finding the Fourth Proportional to 13,952.34, 19,255.41 and 7,666.02

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Solution

The fourth proportional to 13,952.34, 19,255.41 and 7,666.02 is: 10,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.34 : 19,255.41 = 7,666.02 : x
  2. Step 2: Convert to fraction form
    13,952.34/19,255.41 = 7,666.02/x
  3. Step 3: Cross multiply
    13,952.34x = 19,255.41 × 7,666.02
  4. Step 4: Simplify right side
    13,952.34x = 147,612,358.17
  5. Step 5: Solve for x
    x = 147,612,358.17/13,952.34
  6. Step 6: Final answer
    x = 10,579.76

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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.