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Finding the Fourth Proportional to 10,055.76, 15,069.84 and 7,588.56

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Solution

The fourth proportional to 10,055.76, 15,069.84 and 7,588.56 is: 11,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.76 : 15,069.84 = 7,588.56 : x
  2. Step 2: Convert to fraction form
    10,055.76/15,069.84 = 7,588.56/x
  3. Step 3: Cross multiply
    10,055.76x = 15,069.84 × 7,588.56
  4. Step 4: Simplify right side
    10,055.76x = 114,358,385.03
  5. Step 5: Solve for x
    x = 114,358,385.03/10,055.76
  6. Step 6: Final answer
    x = 11,372.43

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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.