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Finding the Fourth Proportional to 7,733.43, 11,574.48 and 7,041.69

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Solution

The fourth proportional to 7,733.43, 11,574.48 and 7,041.69 is: 10,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.43 : 11,574.48 = 7,041.69 : x
  2. Step 2: Convert to fraction form
    7,733.43/11,574.48 = 7,041.69/x
  3. Step 3: Cross multiply
    7,733.43x = 11,574.48 × 7,041.69
  4. Step 4: Simplify right side
    7,733.43x = 81,503,900.07
  5. Step 5: Solve for x
    x = 81,503,900.07/7,733.43
  6. Step 6: Final answer
    x = 10,539.17

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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.