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Finding the Fourth Proportional to 7,029.68, 9,700.80 and 4,046.48

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Solution

The fourth proportional to 7,029.68, 9,700.80 and 4,046.48 is: 5,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.68 : 9,700.80 = 4,046.48 : x
  2. Step 2: Convert to fraction form
    7,029.68/9,700.80 = 4,046.48/x
  3. Step 3: Cross multiply
    7,029.68x = 9,700.80 × 4,046.48
  4. Step 4: Simplify right side
    7,029.68x = 39,254,093.18
  5. Step 5: Solve for x
    x = 39,254,093.18/7,029.68
  6. Step 6: Final answer
    x = 5,584.05

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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.