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Finding the Fourth Proportional to 9,030.32, 12,462 and 5,493.68

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Solution

The fourth proportional to 9,030.32, 12,462 and 5,493.68 is: 7,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.32 : 12,462 = 5,493.68 : x
  2. Step 2: Convert to fraction form
    9,030.32/12,462 = 5,493.68/x
  3. Step 3: Cross multiply
    9,030.32x = 12,462 × 5,493.68
  4. Step 4: Simplify right side
    9,030.32x = 68,462,240.16
  5. Step 5: Solve for x
    x = 68,462,240.16/9,030.32
  6. Step 6: Final answer
    x = 7,581.37

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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.