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Finding the Fourth Proportional to 7,670.50, 10,590.53 and 5,874.80

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Solution

The fourth proportional to 7,670.50, 10,590.53 and 5,874.80 is: 8,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.50 : 10,590.53 = 5,874.80 : x
  2. Step 2: Convert to fraction form
    7,670.50/10,590.53 = 5,874.80/x
  3. Step 3: Cross multiply
    7,670.50x = 10,590.53 × 5,874.80
  4. Step 4: Simplify right side
    7,670.50x = 62,217,245.64
  5. Step 5: Solve for x
    x = 62,217,245.64/7,670.50
  6. Step 6: Final answer
    x = 8,111.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.