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Finding the Fourth Proportional to 7,853.51, 11,763.86 and 7,314.05

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Solution

The fourth proportional to 7,853.51, 11,763.86 and 7,314.05 is: 10,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.51 : 11,763.86 = 7,314.05 : x
  2. Step 2: Convert to fraction form
    7,853.51/11,763.86 = 7,314.05/x
  3. Step 3: Cross multiply
    7,853.51x = 11,763.86 × 7,314.05
  4. Step 4: Simplify right side
    7,853.51x = 86,041,364.84
  5. Step 5: Solve for x
    x = 86,041,364.84/7,853.51
  6. Step 6: Final answer
    x = 10,955.79

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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.