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Finding the Fourth Proportional to 7,486.34, 10,256.27 and 7,205.94

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Solution

The fourth proportional to 7,486.34, 10,256.27 and 7,205.94 is: 9,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.34 : 10,256.27 = 7,205.94 : x
  2. Step 2: Convert to fraction form
    7,486.34/10,256.27 = 7,205.94/x
  3. Step 3: Cross multiply
    7,486.34x = 10,256.27 × 7,205.94
  4. Step 4: Simplify right side
    7,486.34x = 73,906,030.21
  5. Step 5: Solve for x
    x = 73,906,030.21/7,486.34
  6. Step 6: Final answer
    x = 9,872.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.