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Finding the Fourth Proportional to 7,024.56, 9,698.04 and 4,671.60

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Solution

The fourth proportional to 7,024.56, 9,698.04 and 4,671.60 is: 6,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.56 : 9,698.04 = 4,671.60 : x
  2. Step 2: Convert to fraction form
    7,024.56/9,698.04 = 4,671.60/x
  3. Step 3: Cross multiply
    7,024.56x = 9,698.04 × 4,671.60
  4. Step 4: Simplify right side
    7,024.56x = 45,305,363.66
  5. Step 5: Solve for x
    x = 45,305,363.66/7,024.56
  6. Step 6: Final answer
    x = 6,449.57

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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.