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Finding the Fourth Proportional to 3,465.16, 5,197.74 and 868.09

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Solution

The fourth proportional to 3,465.16, 5,197.74 and 868.09 is: 1,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.16 : 5,197.74 = 868.09 : x
  2. Step 2: Convert to fraction form
    3,465.16/5,197.74 = 868.09/x
  3. Step 3: Cross multiply
    3,465.16x = 5,197.74 × 868.09
  4. Step 4: Simplify right side
    3,465.16x = 4,512,106.12
  5. Step 5: Solve for x
    x = 4,512,106.12/3,465.16
  6. Step 6: Final answer
    x = 1,302.14

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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.