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Finding the Fourth Proportional to 7,804.56, 10,768.70 and 4,616.28

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Solution

The fourth proportional to 7,804.56, 10,768.70 and 4,616.28 is: 6,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.56 : 10,768.70 = 4,616.28 : x
  2. Step 2: Convert to fraction form
    7,804.56/10,768.70 = 4,616.28/x
  3. Step 3: Cross multiply
    7,804.56x = 10,768.70 × 4,616.28
  4. Step 4: Simplify right side
    7,804.56x = 49,711,311.35
  5. Step 5: Solve for x
    x = 49,711,311.35/7,804.56
  6. Step 6: Final answer
    x = 6,369.52

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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.