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Finding the Fourth Proportional to 9,812.76, 14,615.23 and 9,764.96

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Solution

The fourth proportional to 9,812.76, 14,615.23 and 9,764.96 is: 14,544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.76 : 14,615.23 = 9,764.96 : x
  2. Step 2: Convert to fraction form
    9,812.76/14,615.23 = 9,764.96/x
  3. Step 3: Cross multiply
    9,812.76x = 14,615.23 × 9,764.96
  4. Step 4: Simplify right side
    9,812.76x = 142,717,148.47
  5. Step 5: Solve for x
    x = 142,717,148.47/9,812.76
  6. Step 6: Final answer
    x = 14,544.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.