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Finding the Fourth Proportional to 7,776.51, 10,728.52 and 4,787.16

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Solution

The fourth proportional to 7,776.51, 10,728.52 and 4,787.16 is: 6,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.51 : 10,728.52 = 4,787.16 : x
  2. Step 2: Convert to fraction form
    7,776.51/10,728.52 = 4,787.16/x
  3. Step 3: Cross multiply
    7,776.51x = 10,728.52 × 4,787.16
  4. Step 4: Simplify right side
    7,776.51x = 51,359,141.80
  5. Step 5: Solve for x
    x = 51,359,141.80/7,776.51
  6. Step 6: Final answer
    x = 6,604.39

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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.