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Finding the Fourth Proportional to 8,924.04, 12,314.16 and 4,944.60

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Solution

The fourth proportional to 8,924.04, 12,314.16 and 4,944.60 is: 6,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.04 : 12,314.16 = 4,944.60 : x
  2. Step 2: Convert to fraction form
    8,924.04/12,314.16 = 4,944.60/x
  3. Step 3: Cross multiply
    8,924.04x = 12,314.16 × 4,944.60
  4. Step 4: Simplify right side
    8,924.04x = 60,888,595.54
  5. Step 5: Solve for x
    x = 60,888,595.54/8,924.04
  6. Step 6: Final answer
    x = 6,822.99

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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.