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Finding the Fourth Proportional to 4,772.70, 7,151.22 and 4,590.45

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Solution

The fourth proportional to 4,772.70, 7,151.22 and 4,590.45 is: 6,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.70 : 7,151.22 = 4,590.45 : x
  2. Step 2: Convert to fraction form
    4,772.70/7,151.22 = 4,590.45/x
  3. Step 3: Cross multiply
    4,772.70x = 7,151.22 × 4,590.45
  4. Step 4: Simplify right side
    4,772.70x = 32,827,317.85
  5. Step 5: Solve for x
    x = 32,827,317.85/4,772.70
  6. Step 6: Final answer
    x = 6,878.14

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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.