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Finding the Fourth Proportional to 9,003, 12,424.14 and 5,465.55

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Solution

The fourth proportional to 9,003, 12,424.14 and 5,465.55 is: 7,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003 : 12,424.14 = 5,465.55 : x
  2. Step 2: Convert to fraction form
    9,003/12,424.14 = 5,465.55/x
  3. Step 3: Cross multiply
    9,003x = 12,424.14 × 5,465.55
  4. Step 4: Simplify right side
    9,003x = 67,904,758.38
  5. Step 5: Solve for x
    x = 67,904,758.38/9,003
  6. Step 6: Final answer
    x = 7,542.46

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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.