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Finding the Fourth Proportional to 4,842.10, 7,252.35 and 4,734.10

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Solution

The fourth proportional to 4,842.10, 7,252.35 and 4,734.10 is: 7,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.10 : 7,252.35 = 4,734.10 : x
  2. Step 2: Convert to fraction form
    4,842.10/7,252.35 = 4,734.10/x
  3. Step 3: Cross multiply
    4,842.10x = 7,252.35 × 4,734.10
  4. Step 4: Simplify right side
    4,842.10x = 34,333,350.14
  5. Step 5: Solve for x
    x = 34,333,350.14/4,842.10
  6. Step 6: Final answer
    x = 7,090.59

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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.