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Finding the Fourth Proportional to 7,486.84, 10,256.95 and 7,206.44

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Solution

The fourth proportional to 7,486.84, 10,256.95 and 7,206.44 is: 9,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.84 : 10,256.95 = 7,206.44 : x
  2. Step 2: Convert to fraction form
    7,486.84/10,256.95 = 7,206.44/x
  3. Step 3: Cross multiply
    7,486.84x = 10,256.95 × 7,206.44
  4. Step 4: Simplify right side
    7,486.84x = 73,916,094.76
  5. Step 5: Solve for x
    x = 73,916,094.76/7,486.84
  6. Step 6: Final answer
    x = 9,872.81

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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.