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Finding the Fourth Proportional to 10,740.74, 16,106.85 and 6,574.50

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Solution

The fourth proportional to 10,740.74, 16,106.85 and 6,574.50 is: 9,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.74 : 16,106.85 = 6,574.50 : x
  2. Step 2: Convert to fraction form
    10,740.74/16,106.85 = 6,574.50/x
  3. Step 3: Cross multiply
    10,740.74x = 16,106.85 × 6,574.50
  4. Step 4: Simplify right side
    10,740.74x = 105,894,485.33
  5. Step 5: Solve for x
    x = 105,894,485.33/10,740.74
  6. Step 6: Final answer
    x = 9,859.15

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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.