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Finding the Fourth Proportional to 6,685.74, 10,030.23 and 2,005.74

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Solution

The fourth proportional to 6,685.74, 10,030.23 and 2,005.74 is: 3,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.74 : 10,030.23 = 2,005.74 : x
  2. Step 2: Convert to fraction form
    6,685.74/10,030.23 = 2,005.74/x
  3. Step 3: Cross multiply
    6,685.74x = 10,030.23 × 2,005.74
  4. Step 4: Simplify right side
    6,685.74x = 20,118,033.52
  5. Step 5: Solve for x
    x = 20,118,033.52/6,685.74
  6. Step 6: Final answer
    x = 3,009.10

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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.