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Finding the Fourth Proportional to 1,575.47, 2,174.20 and 946.10

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Solution

The fourth proportional to 1,575.47, 2,174.20 and 946.10 is: 1,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.47 : 2,174.20 = 946.10 : x
  2. Step 2: Convert to fraction form
    1,575.47/2,174.20 = 946.10/x
  3. Step 3: Cross multiply
    1,575.47x = 2,174.20 × 946.10
  4. Step 4: Simplify right side
    1,575.47x = 2,056,997.38
  5. Step 5: Solve for x
    x = 2,056,997.38/1,575.47
  6. Step 6: Final answer
    x = 1,305.64

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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.