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Finding the Fourth Proportional to 6,362.61, 8,778 and 4,688.01

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Solution

The fourth proportional to 6,362.61, 8,778 and 4,688.01 is: 6,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.61 : 8,778 = 4,688.01 : x
  2. Step 2: Convert to fraction form
    6,362.61/8,778 = 4,688.01/x
  3. Step 3: Cross multiply
    6,362.61x = 8,778 × 4,688.01
  4. Step 4: Simplify right side
    6,362.61x = 41,151,351.78
  5. Step 5: Solve for x
    x = 41,151,351.78/6,362.61
  6. Step 6: Final answer
    x = 6,467.68

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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.