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Finding the Fourth Proportional to 6,859.20, 9,465.08 and 4,206.08

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Solution

The fourth proportional to 6,859.20, 9,465.08 and 4,206.08 is: 5,804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.20 : 9,465.08 = 4,206.08 : x
  2. Step 2: Convert to fraction form
    6,859.20/9,465.08 = 4,206.08/x
  3. Step 3: Cross multiply
    6,859.20x = 9,465.08 × 4,206.08
  4. Step 4: Simplify right side
    6,859.20x = 39,810,883.69
  5. Step 5: Solve for x
    x = 39,810,883.69/6,859.20
  6. Step 6: Final answer
    x = 5,804.01

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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.