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Finding the Fourth Proportional to 6,296.16, 9,444.16 and 4,342.40

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Solution

The fourth proportional to 6,296.16, 9,444.16 and 4,342.40 is: 6,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.16 : 9,444.16 = 4,342.40 : x
  2. Step 2: Convert to fraction form
    6,296.16/9,444.16 = 4,342.40/x
  3. Step 3: Cross multiply
    6,296.16x = 9,444.16 × 4,342.40
  4. Step 4: Simplify right side
    6,296.16x = 41,010,320.38
  5. Step 5: Solve for x
    x = 41,010,320.38/6,296.16
  6. Step 6: Final answer
    x = 6,513.54

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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.