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Finding the Fourth Proportional to 7,748.61, 10,693.16 and 4,604.19

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Solution

The fourth proportional to 7,748.61, 10,693.16 and 4,604.19 is: 6,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.61 : 10,693.16 = 4,604.19 : x
  2. Step 2: Convert to fraction form
    7,748.61/10,693.16 = 4,604.19/x
  3. Step 3: Cross multiply
    7,748.61x = 10,693.16 × 4,604.19
  4. Step 4: Simplify right side
    7,748.61x = 49,233,317.32
  5. Step 5: Solve for x
    x = 49,233,317.32/7,748.61
  6. Step 6: Final answer
    x = 6,353.83

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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.