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Finding the Fourth Proportional to 7,009.62, 9,670.23 and 4,213.50

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Solution

The fourth proportional to 7,009.62, 9,670.23 and 4,213.50 is: 5,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.62 : 9,670.23 = 4,213.50 : x
  2. Step 2: Convert to fraction form
    7,009.62/9,670.23 = 4,213.50/x
  3. Step 3: Cross multiply
    7,009.62x = 9,670.23 × 4,213.50
  4. Step 4: Simplify right side
    7,009.62x = 40,745,514.11
  5. Step 5: Solve for x
    x = 40,745,514.11/7,009.62
  6. Step 6: Final answer
    x = 5,812.80

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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.