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Finding the Fourth Proportional to 9,756.50, 13,462.53 and 5,721.80

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Solution

The fourth proportional to 9,756.50, 13,462.53 and 5,721.80 is: 7,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.50 : 13,462.53 = 5,721.80 : x
  2. Step 2: Convert to fraction form
    9,756.50/13,462.53 = 5,721.80/x
  3. Step 3: Cross multiply
    9,756.50x = 13,462.53 × 5,721.80
  4. Step 4: Simplify right side
    9,756.50x = 77,029,926.14
  5. Step 5: Solve for x
    x = 77,029,926.14/9,756.50
  6. Step 6: Final answer
    x = 7,895.24

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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.