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Finding the Fourth Proportional to 4,547.61, 6,266.61 and 3,286.44

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Solution

The fourth proportional to 4,547.61, 6,266.61 and 3,286.44 is: 4,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.61 : 6,266.61 = 3,286.44 : x
  2. Step 2: Convert to fraction form
    4,547.61/6,266.61 = 3,286.44/x
  3. Step 3: Cross multiply
    4,547.61x = 6,266.61 × 3,286.44
  4. Step 4: Simplify right side
    4,547.61x = 20,594,837.77
  5. Step 5: Solve for x
    x = 20,594,837.77/4,547.61
  6. Step 6: Final answer
    x = 4,528.72

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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.