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Finding the Fourth Proportional to 12,547.46, 18,822.57 and 5,524.46

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Solution

The fourth proportional to 12,547.46, 18,822.57 and 5,524.46 is: 8,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.46 : 18,822.57 = 5,524.46 : x
  2. Step 2: Convert to fraction form
    12,547.46/18,822.57 = 5,524.46/x
  3. Step 3: Cross multiply
    12,547.46x = 18,822.57 × 5,524.46
  4. Step 4: Simplify right side
    12,547.46x = 103,984,535.06
  5. Step 5: Solve for x
    x = 103,984,535.06/12,547.46
  6. Step 6: Final answer
    x = 8,287.30

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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.