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Finding the Fourth Proportional to 7,842.83, 10,823.22 and 4,306.57

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Solution

The fourth proportional to 7,842.83, 10,823.22 and 4,306.57 is: 5,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.83 : 10,823.22 = 4,306.57 : x
  2. Step 2: Convert to fraction form
    7,842.83/10,823.22 = 4,306.57/x
  3. Step 3: Cross multiply
    7,842.83x = 10,823.22 × 4,306.57
  4. Step 4: Simplify right side
    7,842.83x = 46,610,927.50
  5. Step 5: Solve for x
    x = 46,610,927.50/7,842.83
  6. Step 6: Final answer
    x = 5,943.13

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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.