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Finding the Fourth Proportional to 7,706.84, 10,635.71 and 4,349.46

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Solution

The fourth proportional to 7,706.84, 10,635.71 and 4,349.46 is: 6,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.84 : 10,635.71 = 4,349.46 : x
  2. Step 2: Convert to fraction form
    7,706.84/10,635.71 = 4,349.46/x
  3. Step 3: Cross multiply
    7,706.84x = 10,635.71 × 4,349.46
  4. Step 4: Simplify right side
    7,706.84x = 46,259,573.47
  5. Step 5: Solve for x
    x = 46,259,573.47/7,706.84
  6. Step 6: Final answer
    x = 6,002.41

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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.