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Finding the Fourth Proportional to 9,243.57, 12,756.65 and 6,097.53

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Solution

The fourth proportional to 9,243.57, 12,756.65 and 6,097.53 is: 8,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.57 : 12,756.65 = 6,097.53 : x
  2. Step 2: Convert to fraction form
    9,243.57/12,756.65 = 6,097.53/x
  3. Step 3: Cross multiply
    9,243.57x = 12,756.65 × 6,097.53
  4. Step 4: Simplify right side
    9,243.57x = 77,784,056.07
  5. Step 5: Solve for x
    x = 77,784,056.07/9,243.57
  6. Step 6: Final answer
    x = 8,414.94

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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.