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Finding the Fourth Proportional to 6,486.24, 8,942.16 and 4,592.16

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Solution

The fourth proportional to 6,486.24, 8,942.16 and 4,592.16 is: 6,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.24 : 8,942.16 = 4,592.16 : x
  2. Step 2: Convert to fraction form
    6,486.24/8,942.16 = 4,592.16/x
  3. Step 3: Cross multiply
    6,486.24x = 8,942.16 × 4,592.16
  4. Step 4: Simplify right side
    6,486.24x = 41,063,829.47
  5. Step 5: Solve for x
    x = 41,063,829.47/6,486.24
  6. Step 6: Final answer
    x = 6,330.91

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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.