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Finding the Fourth Proportional to 6,155.59, 9,185.35 and 5,492.91

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Solution

The fourth proportional to 6,155.59, 9,185.35 and 5,492.91 is: 8,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.59 : 9,185.35 = 5,492.91 : x
  2. Step 2: Convert to fraction form
    6,155.59/9,185.35 = 5,492.91/x
  3. Step 3: Cross multiply
    6,155.59x = 9,185.35 × 5,492.91
  4. Step 4: Simplify right side
    6,155.59x = 50,454,300.87
  5. Step 5: Solve for x
    x = 50,454,300.87/6,155.59
  6. Step 6: Final answer
    x = 8,196.50

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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.