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Finding the Fourth Proportional to 6,589.64, 9,884.46 and 3,031.40

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Solution

The fourth proportional to 6,589.64, 9,884.46 and 3,031.40 is: 4,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.64 : 9,884.46 = 3,031.40 : x
  2. Step 2: Convert to fraction form
    6,589.64/9,884.46 = 3,031.40/x
  3. Step 3: Cross multiply
    6,589.64x = 9,884.46 × 3,031.40
  4. Step 4: Simplify right side
    6,589.64x = 29,963,752.04
  5. Step 5: Solve for x
    x = 29,963,752.04/6,589.64
  6. Step 6: Final answer
    x = 4,547.10

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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.