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Finding the Fourth Proportional to 13,803.76, 19,060.44 and 9,097.20

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Solution

The fourth proportional to 13,803.76, 19,060.44 and 9,097.20 is: 12,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.76 : 19,060.44 = 9,097.20 : x
  2. Step 2: Convert to fraction form
    13,803.76/19,060.44 = 9,097.20/x
  3. Step 3: Cross multiply
    13,803.76x = 19,060.44 × 9,097.20
  4. Step 4: Simplify right side
    13,803.76x = 173,396,634.77
  5. Step 5: Solve for x
    x = 173,396,634.77/13,803.76
  6. Step 6: Final answer
    x = 12,561.55

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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.