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Finding the Fourth Proportional to 6,465.40, 9,698.09 and 2,083.50

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Solution

The fourth proportional to 6,465.40, 9,698.09 and 2,083.50 is: 3,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.40 : 9,698.09 = 2,083.50 : x
  2. Step 2: Convert to fraction form
    6,465.40/9,698.09 = 2,083.50/x
  3. Step 3: Cross multiply
    6,465.40x = 9,698.09 × 2,083.50
  4. Step 4: Simplify right side
    6,465.40x = 20,205,970.52
  5. Step 5: Solve for x
    x = 20,205,970.52/6,465.40
  6. Step 6: Final answer
    x = 3,125.25

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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.