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Finding the Fourth Proportional to 6,962.32, 9,605.28 and 6,078.16

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Solution

The fourth proportional to 6,962.32, 9,605.28 and 6,078.16 is: 8,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.32 : 9,605.28 = 6,078.16 : x
  2. Step 2: Convert to fraction form
    6,962.32/9,605.28 = 6,078.16/x
  3. Step 3: Cross multiply
    6,962.32x = 9,605.28 × 6,078.16
  4. Step 4: Simplify right side
    6,962.32x = 58,382,428.68
  5. Step 5: Solve for x
    x = 58,382,428.68/6,962.32
  6. Step 6: Final answer
    x = 8,385.48

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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.