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Finding the Fourth Proportional to 7,768.56, 10,720.74 and 4,411.47

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Solution

The fourth proportional to 7,768.56, 10,720.74 and 4,411.47 is: 6,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.56 : 10,720.74 = 4,411.47 : x
  2. Step 2: Convert to fraction form
    7,768.56/10,720.74 = 4,411.47/x
  3. Step 3: Cross multiply
    7,768.56x = 10,720.74 × 4,411.47
  4. Step 4: Simplify right side
    7,768.56x = 47,294,222.89
  5. Step 5: Solve for x
    x = 47,294,222.89/7,768.56
  6. Step 6: Final answer
    x = 6,087.90

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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.