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Finding the Fourth Proportional to 6,130.75, 9,196.17 and 1,513.75

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Solution

The fourth proportional to 6,130.75, 9,196.17 and 1,513.75 is: 2,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.75 : 9,196.17 = 1,513.75 : x
  2. Step 2: Convert to fraction form
    6,130.75/9,196.17 = 1,513.75/x
  3. Step 3: Cross multiply
    6,130.75x = 9,196.17 × 1,513.75
  4. Step 4: Simplify right side
    6,130.75x = 13,920,702.34
  5. Step 5: Solve for x
    x = 13,920,702.34/6,130.75
  6. Step 6: Final answer
    x = 2,270.64

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.