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Finding the Fourth Proportional to 6,987.02, 9,641.52 and 3,843.22

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Solution

The fourth proportional to 6,987.02, 9,641.52 and 3,843.22 is: 5,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.02 : 9,641.52 = 3,843.22 : x
  2. Step 2: Convert to fraction form
    6,987.02/9,641.52 = 3,843.22/x
  3. Step 3: Cross multiply
    6,987.02x = 9,641.52 × 3,843.22
  4. Step 4: Simplify right side
    6,987.02x = 37,054,482.49
  5. Step 5: Solve for x
    x = 37,054,482.49/6,987.02
  6. Step 6: Final answer
    x = 5,303.33

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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.