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Finding the Fourth Proportional to 4,547.24, 6,822.10 and 1,625.80

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Solution

The fourth proportional to 4,547.24, 6,822.10 and 1,625.80 is: 2,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.24 : 6,822.10 = 1,625.80 : x
  2. Step 2: Convert to fraction form
    4,547.24/6,822.10 = 1,625.80/x
  3. Step 3: Cross multiply
    4,547.24x = 6,822.10 × 1,625.80
  4. Step 4: Simplify right side
    4,547.24x = 11,091,370.18
  5. Step 5: Solve for x
    x = 11,091,370.18/4,547.24
  6. Step 6: Final answer
    x = 2,439.14

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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.