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Finding the Fourth Proportional to 10,474.88, 14,455.14 and 5,759.06

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Solution

The fourth proportional to 10,474.88, 14,455.14 and 5,759.06 is: 7,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.88 : 14,455.14 = 5,759.06 : x
  2. Step 2: Convert to fraction form
    10,474.88/14,455.14 = 5,759.06/x
  3. Step 3: Cross multiply
    10,474.88x = 14,455.14 × 5,759.06
  4. Step 4: Simplify right side
    10,474.88x = 83,248,018.57
  5. Step 5: Solve for x
    x = 83,248,018.57/10,474.88
  6. Step 6: Final answer
    x = 7,947.40

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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.