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Finding the Fourth Proportional to 10,754.51, 14,844.20 and 7,568.51

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Solution

The fourth proportional to 10,754.51, 14,844.20 and 7,568.51 is: 10,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.51 : 14,844.20 = 7,568.51 : x
  2. Step 2: Convert to fraction form
    10,754.51/14,844.20 = 7,568.51/x
  3. Step 3: Cross multiply
    10,754.51x = 14,844.20 × 7,568.51
  4. Step 4: Simplify right side
    10,754.51x = 112,348,364.08
  5. Step 5: Solve for x
    x = 112,348,364.08/10,754.51
  6. Step 6: Final answer
    x = 10,446.63

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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.