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Finding the Fourth Proportional to 6,648.59, 9,970.70 and 2,205.24

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Solution

The fourth proportional to 6,648.59, 9,970.70 and 2,205.24 is: 3,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.59 : 9,970.70 = 2,205.24 : x
  2. Step 2: Convert to fraction form
    6,648.59/9,970.70 = 2,205.24/x
  3. Step 3: Cross multiply
    6,648.59x = 9,970.70 × 2,205.24
  4. Step 4: Simplify right side
    6,648.59x = 21,987,738.05
  5. Step 5: Solve for x
    x = 21,987,738.05/6,648.59
  6. Step 6: Final answer
    x = 3,307.13

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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.