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Finding the Fourth Proportional to 12,316.64, 18,461.24 and 4,919.16

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Solution

The fourth proportional to 12,316.64, 18,461.24 and 4,919.16 is: 7,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.64 : 18,461.24 = 4,919.16 : x
  2. Step 2: Convert to fraction form
    12,316.64/18,461.24 = 4,919.16/x
  3. Step 3: Cross multiply
    12,316.64x = 18,461.24 × 4,919.16
  4. Step 4: Simplify right side
    12,316.64x = 90,813,793.36
  5. Step 5: Solve for x
    x = 90,813,793.36/12,316.64
  6. Step 6: Final answer
    x = 7,373.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.