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Finding the Fourth Proportional to 7,307.96, 10,072.15 and 5,820.80

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Solution

The fourth proportional to 7,307.96, 10,072.15 and 5,820.80 is: 8,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.96 : 10,072.15 = 5,820.80 : x
  2. Step 2: Convert to fraction form
    7,307.96/10,072.15 = 5,820.80/x
  3. Step 3: Cross multiply
    7,307.96x = 10,072.15 × 5,820.80
  4. Step 4: Simplify right side
    7,307.96x = 58,627,905.81
  5. Step 5: Solve for x
    x = 58,627,905.81/7,307.96
  6. Step 6: Final answer
    x = 8,022.48

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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.