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Finding the Fourth Proportional to 7,706.74, 11,602.10 and 5,256.99

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Solution

The fourth proportional to 7,706.74, 11,602.10 and 5,256.99 is: 7,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.74 : 11,602.10 = 5,256.99 : x
  2. Step 2: Convert to fraction form
    7,706.74/11,602.10 = 5,256.99/x
  3. Step 3: Cross multiply
    7,706.74x = 11,602.10 × 5,256.99
  4. Step 4: Simplify right side
    7,706.74x = 60,992,136.82
  5. Step 5: Solve for x
    x = 60,992,136.82/7,706.74
  6. Step 6: Final answer
    x = 7,914.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.