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Finding the Fourth Proportional to 6,098.36, 9,148.08 and 1,715.86

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Solution

The fourth proportional to 6,098.36, 9,148.08 and 1,715.86 is: 2,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.36 : 9,148.08 = 1,715.86 : x
  2. Step 2: Convert to fraction form
    6,098.36/9,148.08 = 1,715.86/x
  3. Step 3: Cross multiply
    6,098.36x = 9,148.08 × 1,715.86
  4. Step 4: Simplify right side
    6,098.36x = 15,696,824.55
  5. Step 5: Solve for x
    x = 15,696,824.55/6,098.36
  6. Step 6: Final answer
    x = 2,573.94

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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.