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Finding the Fourth Proportional to 7,822.13, 10,794.53 and 4,679.06

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Solution

The fourth proportional to 7,822.13, 10,794.53 and 4,679.06 is: 6,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.13 : 10,794.53 = 4,679.06 : x
  2. Step 2: Convert to fraction form
    7,822.13/10,794.53 = 4,679.06/x
  3. Step 3: Cross multiply
    7,822.13x = 10,794.53 × 4,679.06
  4. Step 4: Simplify right side
    7,822.13x = 50,508,211.27
  5. Step 5: Solve for x
    x = 50,508,211.27/7,822.13
  6. Step 6: Final answer
    x = 6,457.10

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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.