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Finding the Fourth Proportional to 7,812.99, 11,727.59 and 5,233.95

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Solution

The fourth proportional to 7,812.99, 11,727.59 and 5,233.95 is: 7,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.99 : 11,727.59 = 5,233.95 : x
  2. Step 2: Convert to fraction form
    7,812.99/11,727.59 = 5,233.95/x
  3. Step 3: Cross multiply
    7,812.99x = 11,727.59 × 5,233.95
  4. Step 4: Simplify right side
    7,812.99x = 61,381,593.51
  5. Step 5: Solve for x
    x = 61,381,593.51/7,812.99
  6. Step 6: Final answer
    x = 7,856.35

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1.5x scale

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.