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Finding the Fourth Proportional to 10,596.69, 14,623.00 and 5,881.28

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Solution

The fourth proportional to 10,596.69, 14,623.00 and 5,881.28 is: 8,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.69 : 14,623.00 = 5,881.28 : x
  2. Step 2: Convert to fraction form
    10,596.69/14,623.00 = 5,881.28/x
  3. Step 3: Cross multiply
    10,596.69x = 14,623.00 × 5,881.28
  4. Step 4: Simplify right side
    10,596.69x = 86,001,869.62
  5. Step 5: Solve for x
    x = 86,001,869.62/10,596.69
  6. Step 6: Final answer
    x = 8,115.92

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1.5x scale

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.