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Finding the Fourth Proportional to 7,842.57, 10,822.76 and 4,257.53

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Solution

The fourth proportional to 7,842.57, 10,822.76 and 4,257.53 is: 5,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.57 : 10,822.76 = 4,257.53 : x
  2. Step 2: Convert to fraction form
    7,842.57/10,822.76 = 4,257.53/x
  3. Step 3: Cross multiply
    7,842.57x = 10,822.76 × 4,257.53
  4. Step 4: Simplify right side
    7,842.57x = 46,078,206.53
  5. Step 5: Solve for x
    x = 46,078,206.53/7,842.57
  6. Step 6: Final answer
    x = 5,875.39

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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.