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Finding the Fourth Proportional to 7,840.97, 10,820.16 and 4,304.24

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Solution

The fourth proportional to 7,840.97, 10,820.16 and 4,304.24 is: 5,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.97 : 10,820.16 = 4,304.24 : x
  2. Step 2: Convert to fraction form
    7,840.97/10,820.16 = 4,304.24/x
  3. Step 3: Cross multiply
    7,840.97x = 10,820.16 × 4,304.24
  4. Step 4: Simplify right side
    7,840.97x = 46,572,511.38
  5. Step 5: Solve for x
    x = 46,572,511.38/7,840.97
  6. Step 6: Final answer
    x = 5,939.64

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Half scale
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Double scale
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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.