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Finding the Fourth Proportional to 7,663.70, 10,586.01 and 5,684.46

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Solution

The fourth proportional to 7,663.70, 10,586.01 and 5,684.46 is: 7,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.70 : 10,586.01 = 5,684.46 : x
  2. Step 2: Convert to fraction form
    7,663.70/10,586.01 = 5,684.46/x
  3. Step 3: Cross multiply
    7,663.70x = 10,586.01 × 5,684.46
  4. Step 4: Simplify right side
    7,663.70x = 60,175,750.40
  5. Step 5: Solve for x
    x = 60,175,750.40/7,663.70
  6. Step 6: Final answer
    x = 7,852.05

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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.