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Finding the Fourth Proportional to 9,523.11, 13,129.68 and 7,395.03

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Solution

The fourth proportional to 9,523.11, 13,129.68 and 7,395.03 is: 10,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.11 : 13,129.68 = 7,395.03 : x
  2. Step 2: Convert to fraction form
    9,523.11/13,129.68 = 7,395.03/x
  3. Step 3: Cross multiply
    9,523.11x = 13,129.68 × 7,395.03
  4. Step 4: Simplify right side
    9,523.11x = 97,094,377.49
  5. Step 5: Solve for x
    x = 97,094,377.49/9,523.11
  6. Step 6: Final answer
    x = 10,195.66

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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.