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Finding the Fourth Proportional to 6,589.47, 9,884.71 and 1,909.54

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Solution

The fourth proportional to 6,589.47, 9,884.71 and 1,909.54 is: 2,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.47 : 9,884.71 = 1,909.54 : x
  2. Step 2: Convert to fraction form
    6,589.47/9,884.71 = 1,909.54/x
  3. Step 3: Cross multiply
    6,589.47x = 9,884.71 × 1,909.54
  4. Step 4: Simplify right side
    6,589.47x = 18,875,258.51
  5. Step 5: Solve for x
    x = 18,875,258.51/6,589.47
  6. Step 6: Final answer
    x = 2,864.46

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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.