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Finding the Fourth Proportional to 6,870.52, 9,484.82 and 4,355.20

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Solution

The fourth proportional to 6,870.52, 9,484.82 and 4,355.20 is: 6,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.52 : 9,484.82 = 4,355.20 : x
  2. Step 2: Convert to fraction form
    6,870.52/9,484.82 = 4,355.20/x
  3. Step 3: Cross multiply
    6,870.52x = 9,484.82 × 4,355.20
  4. Step 4: Simplify right side
    6,870.52x = 41,308,288.06
  5. Step 5: Solve for x
    x = 41,308,288.06/6,870.52
  6. Step 6: Final answer
    x = 6,012.40

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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.