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Finding the Fourth Proportional to 4,771.62, 7,155 and 4,569.66

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Solution

The fourth proportional to 4,771.62, 7,155 and 4,569.66 is: 6,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.62 : 7,155 = 4,569.66 : x
  2. Step 2: Convert to fraction form
    4,771.62/7,155 = 4,569.66/x
  3. Step 3: Cross multiply
    4,771.62x = 7,155 × 4,569.66
  4. Step 4: Simplify right side
    4,771.62x = 32,695,917.30
  5. Step 5: Solve for x
    x = 32,695,917.30/4,771.62
  6. Step 6: Final answer
    x = 6,852.16

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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.