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Finding the Fourth Proportional to 9,424, 13,003.68 and 5,232.16

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Solution

The fourth proportional to 9,424, 13,003.68 and 5,232.16 is: 7,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424 : 13,003.68 = 5,232.16 : x
  2. Step 2: Convert to fraction form
    9,424/13,003.68 = 5,232.16/x
  3. Step 3: Cross multiply
    9,424x = 13,003.68 × 5,232.16
  4. Step 4: Simplify right side
    9,424x = 68,037,334.35
  5. Step 5: Solve for x
    x = 68,037,334.35/9,424
  6. Step 6: Final answer
    x = 7,219.58

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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.