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Finding the Fourth Proportional to 5,267, 7,859.64 and 4,567.16

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Solution

The fourth proportional to 5,267, 7,859.64 and 4,567.16 is: 6,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267 : 7,859.64 = 4,567.16 : x
  2. Step 2: Convert to fraction form
    5,267/7,859.64 = 4,567.16/x
  3. Step 3: Cross multiply
    5,267x = 7,859.64 × 4,567.16
  4. Step 4: Simplify right side
    5,267x = 35,896,233.42
  5. Step 5: Solve for x
    x = 35,896,233.42/5,267
  6. Step 6: Final answer
    x = 6,815.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.