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Finding the Fourth Proportional to 9,277.53, 13,894.42 and 7,180.74

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Solution

The fourth proportional to 9,277.53, 13,894.42 and 7,180.74 is: 10,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.53 : 13,894.42 = 7,180.74 : x
  2. Step 2: Convert to fraction form
    9,277.53/13,894.42 = 7,180.74/x
  3. Step 3: Cross multiply
    9,277.53x = 13,894.42 × 7,180.74
  4. Step 4: Simplify right side
    9,277.53x = 99,772,217.47
  5. Step 5: Solve for x
    x = 99,772,217.47/9,277.53
  6. Step 6: Final answer
    x = 10,754.18

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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.