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Finding the Fourth Proportional to 10,304.96, 15,457.98 and 4,763.48

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Solution

The fourth proportional to 10,304.96, 15,457.98 and 4,763.48 is: 7,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.96 : 15,457.98 = 4,763.48 : x
  2. Step 2: Convert to fraction form
    10,304.96/15,457.98 = 4,763.48/x
  3. Step 3: Cross multiply
    10,304.96x = 15,457.98 × 4,763.48
  4. Step 4: Simplify right side
    10,304.96x = 73,633,778.57
  5. Step 5: Solve for x
    x = 73,633,778.57/10,304.96
  6. Step 6: Final answer
    x = 7,145.47

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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.