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Finding the Fourth Proportional to 9,756.99, 13,468.14 and 5,778.14

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Solution

The fourth proportional to 9,756.99, 13,468.14 and 5,778.14 is: 7,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.99 : 13,468.14 = 5,778.14 : x
  2. Step 2: Convert to fraction form
    9,756.99/13,468.14 = 5,778.14/x
  3. Step 3: Cross multiply
    9,756.99x = 13,468.14 × 5,778.14
  4. Step 4: Simplify right side
    9,756.99x = 77,820,731.12
  5. Step 5: Solve for x
    x = 77,820,731.12/9,756.99
  6. Step 6: Final answer
    x = 7,975.90

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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.