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Finding the Fourth Proportional to 10,895.50, 16,345.68 and 3,970

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Solution

The fourth proportional to 10,895.50, 16,345.68 and 3,970 is: 5,955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.50 : 16,345.68 = 3,970 : x
  2. Step 2: Convert to fraction form
    10,895.50/16,345.68 = 3,970/x
  3. Step 3: Cross multiply
    10,895.50x = 16,345.68 × 3,970
  4. Step 4: Simplify right side
    10,895.50x = 64,892,349.60
  5. Step 5: Solve for x
    x = 64,892,349.60/10,895.50
  6. Step 6: Final answer
    x = 5,955.89

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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.