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Finding the Fourth Proportional to 6,154.94, 9,188.07 and 5,717.54

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Solution

The fourth proportional to 6,154.94, 9,188.07 and 5,717.54 is: 8,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.94 : 9,188.07 = 5,717.54 : x
  2. Step 2: Convert to fraction form
    6,154.94/9,188.07 = 5,717.54/x
  3. Step 3: Cross multiply
    6,154.94x = 9,188.07 × 5,717.54
  4. Step 4: Simplify right side
    6,154.94x = 52,533,129.16
  5. Step 5: Solve for x
    x = 52,533,129.16/6,154.94
  6. Step 6: Final answer
    x = 8,535.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.