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Finding the Fourth Proportional to 9,528.22, 13,032.24 and 9,375.13

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Solution

The fourth proportional to 9,528.22, 13,032.24 and 9,375.13 is: 12,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.22 : 13,032.24 = 9,375.13 : x
  2. Step 2: Convert to fraction form
    9,528.22/13,032.24 = 9,375.13/x
  3. Step 3: Cross multiply
    9,528.22x = 13,032.24 × 9,375.13
  4. Step 4: Simplify right side
    9,528.22x = 122,178,944.19
  5. Step 5: Solve for x
    x = 122,178,944.19/9,528.22
  6. Step 6: Final answer
    x = 12,822.85

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Half scale
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Double scale
Find fourth proportional to 9,529.22, 13,033.61 and 9,376.13
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.