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Finding the Fourth Proportional to 7,744.54, 10,689.16 and 4,762.94

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Solution

The fourth proportional to 7,744.54, 10,689.16 and 4,762.94 is: 6,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.54 : 10,689.16 = 4,762.94 : x
  2. Step 2: Convert to fraction form
    7,744.54/10,689.16 = 4,762.94/x
  3. Step 3: Cross multiply
    7,744.54x = 10,689.16 × 4,762.94
  4. Step 4: Simplify right side
    7,744.54x = 50,911,827.73
  5. Step 5: Solve for x
    x = 50,911,827.73/7,744.54
  6. Step 6: Final answer
    x = 6,573.90

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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.