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Finding the Fourth Proportional to 6,547.36, 9,794.04 and 4,203.76

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Solution

The fourth proportional to 6,547.36, 9,794.04 and 4,203.76 is: 6,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.36 : 9,794.04 = 4,203.76 : x
  2. Step 2: Convert to fraction form
    6,547.36/9,794.04 = 4,203.76/x
  3. Step 3: Cross multiply
    6,547.36x = 9,794.04 × 4,203.76
  4. Step 4: Simplify right side
    6,547.36x = 41,171,793.59
  5. Step 5: Solve for x
    x = 41,171,793.59/6,547.36
  6. Step 6: Final answer
    x = 6,288.30

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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.