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Finding the Fourth Proportional to 7,114.16, 10,671.48 and 1,920.16

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Solution

The fourth proportional to 7,114.16, 10,671.48 and 1,920.16 is: 2,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.16 : 10,671.48 = 1,920.16 : x
  2. Step 2: Convert to fraction form
    7,114.16/10,671.48 = 1,920.16/x
  3. Step 3: Cross multiply
    7,114.16x = 10,671.48 × 1,920.16
  4. Step 4: Simplify right side
    7,114.16x = 20,490,949.04
  5. Step 5: Solve for x
    x = 20,490,949.04/7,114.16
  6. Step 6: Final answer
    x = 2,880.30

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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.