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Finding the Fourth Proportional to 10,362.86, 15,570.62 and 6,616.46

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Solution

The fourth proportional to 10,362.86, 15,570.62 and 6,616.46 is: 9,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.86 : 15,570.62 = 6,616.46 : x
  2. Step 2: Convert to fraction form
    10,362.86/15,570.62 = 6,616.46/x
  3. Step 3: Cross multiply
    10,362.86x = 15,570.62 × 6,616.46
  4. Step 4: Simplify right side
    10,362.86x = 103,022,384.41
  5. Step 5: Solve for x
    x = 103,022,384.41/10,362.86
  6. Step 6: Final answer
    x = 9,941.50

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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.