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Finding the Fourth Proportional to 6,574.67, 9,070.68 and 3,885.31

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Solution

The fourth proportional to 6,574.67, 9,070.68 and 3,885.31 is: 5,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.67 : 9,070.68 = 3,885.31 : x
  2. Step 2: Convert to fraction form
    6,574.67/9,070.68 = 3,885.31/x
  3. Step 3: Cross multiply
    6,574.67x = 9,070.68 × 3,885.31
  4. Step 4: Simplify right side
    6,574.67x = 35,242,403.71
  5. Step 5: Solve for x
    x = 35,242,403.71/6,574.67
  6. Step 6: Final answer
    x = 5,360.33

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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.