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Finding the Fourth Proportional to 7,047.06, 9,724.23 and 4,213.86

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Solution

The fourth proportional to 7,047.06, 9,724.23 and 4,213.86 is: 5,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.06 : 9,724.23 = 4,213.86 : x
  2. Step 2: Convert to fraction form
    7,047.06/9,724.23 = 4,213.86/x
  3. Step 3: Cross multiply
    7,047.06x = 9,724.23 × 4,213.86
  4. Step 4: Simplify right side
    7,047.06x = 40,976,543.83
  5. Step 5: Solve for x
    x = 40,976,543.83/7,047.06
  6. Step 6: Final answer
    x = 5,814.70

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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.