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Finding the Fourth Proportional to 6,592.34, 9,097.16 and 3,798.74

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Solution

The fourth proportional to 6,592.34, 9,097.16 and 3,798.74 is: 5,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.34 : 9,097.16 = 3,798.74 : x
  2. Step 2: Convert to fraction form
    6,592.34/9,097.16 = 3,798.74/x
  3. Step 3: Cross multiply
    6,592.34x = 9,097.16 × 3,798.74
  4. Step 4: Simplify right side
    6,592.34x = 34,557,745.58
  5. Step 5: Solve for x
    x = 34,557,745.58/6,592.34
  6. Step 6: Final answer
    x = 5,242.11

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Half scale
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Double scale
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Similar ratio
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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.