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Finding the Fourth Proportional to 4,762.13, 7,139.12 and 1,842.48

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Solution

The fourth proportional to 4,762.13, 7,139.12 and 1,842.48 is: 2,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.13 : 7,139.12 = 1,842.48 : x
  2. Step 2: Convert to fraction form
    4,762.13/7,139.12 = 1,842.48/x
  3. Step 3: Cross multiply
    4,762.13x = 7,139.12 × 1,842.48
  4. Step 4: Simplify right side
    4,762.13x = 13,153,676.61
  5. Step 5: Solve for x
    x = 13,153,676.61/4,762.13
  6. Step 6: Final answer
    x = 2,762.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.