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Finding the Fourth Proportional to 7,787.34, 10,743.03 and 4,803.30

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Solution

The fourth proportional to 7,787.34, 10,743.03 and 4,803.30 is: 6,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.34 : 10,743.03 = 4,803.30 : x
  2. Step 2: Convert to fraction form
    7,787.34/10,743.03 = 4,803.30/x
  3. Step 3: Cross multiply
    7,787.34x = 10,743.03 × 4,803.30
  4. Step 4: Simplify right side
    7,787.34x = 51,601,996.00
  5. Step 5: Solve for x
    x = 51,601,996.00/7,787.34
  6. Step 6: Final answer
    x = 6,626.40

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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.