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Finding the Fourth Proportional to 7,008.48, 10,512.76 and 2,078.16

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Solution

The fourth proportional to 7,008.48, 10,512.76 and 2,078.16 is: 3,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.48 : 10,512.76 = 2,078.16 : x
  2. Step 2: Convert to fraction form
    7,008.48/10,512.76 = 2,078.16/x
  3. Step 3: Cross multiply
    7,008.48x = 10,512.76 × 2,078.16
  4. Step 4: Simplify right side
    7,008.48x = 21,847,197.32
  5. Step 5: Solve for x
    x = 21,847,197.32/7,008.48
  6. Step 6: Final answer
    x = 3,117.25

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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.