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Finding the Fourth Proportional to 10,024.75, 13,833 and 5,547.88

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Solution

The fourth proportional to 10,024.75, 13,833 and 5,547.88 is: 7,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.75 : 13,833 = 5,547.88 : x
  2. Step 2: Convert to fraction form
    10,024.75/13,833 = 5,547.88/x
  3. Step 3: Cross multiply
    10,024.75x = 13,833 × 5,547.88
  4. Step 4: Simplify right side
    10,024.75x = 76,743,824.04
  5. Step 5: Solve for x
    x = 76,743,824.04/10,024.75
  6. Step 6: Final answer
    x = 7,655.44

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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.