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Finding the Fourth Proportional to 10,488.52, 15,738.23 and 9,883.45

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Solution

The fourth proportional to 10,488.52, 15,738.23 and 9,883.45 is: 14,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.52 : 15,738.23 = 9,883.45 : x
  2. Step 2: Convert to fraction form
    10,488.52/15,738.23 = 9,883.45/x
  3. Step 3: Cross multiply
    10,488.52x = 15,738.23 × 9,883.45
  4. Step 4: Simplify right side
    10,488.52x = 155,548,009.29
  5. Step 5: Solve for x
    x = 155,548,009.29/10,488.52
  6. Step 6: Final answer
    x = 14,830.31

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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.