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Finding the Fourth Proportional to 15,776.88, 21,777.84 and 9,488.16

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Solution

The fourth proportional to 15,776.88, 21,777.84 and 9,488.16 is: 13,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.88 : 21,777.84 = 9,488.16 : x
  2. Step 2: Convert to fraction form
    15,776.88/21,777.84 = 9,488.16/x
  3. Step 3: Cross multiply
    15,776.88x = 21,777.84 × 9,488.16
  4. Step 4: Simplify right side
    15,776.88x = 206,631,630.37
  5. Step 5: Solve for x
    x = 206,631,630.37/15,776.88
  6. Step 6: Final answer
    x = 13,097.12

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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.