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Finding the Fourth Proportional to 11,561.50, 15,957.04 and 6,593.50

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Solution

The fourth proportional to 11,561.50, 15,957.04 and 6,593.50 is: 9,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.50 : 15,957.04 = 6,593.50 : x
  2. Step 2: Convert to fraction form
    11,561.50/15,957.04 = 6,593.50/x
  3. Step 3: Cross multiply
    11,561.50x = 15,957.04 × 6,593.50
  4. Step 4: Simplify right side
    11,561.50x = 105,212,743.24
  5. Step 5: Solve for x
    x = 105,212,743.24/11,561.50
  6. Step 6: Final answer
    x = 9,100.27

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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.