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Finding the Fourth Proportional to 7,644.88, 10,549.95 and 4,460.36

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Solution

The fourth proportional to 7,644.88, 10,549.95 and 4,460.36 is: 6,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.88 : 10,549.95 = 4,460.36 : x
  2. Step 2: Convert to fraction form
    7,644.88/10,549.95 = 4,460.36/x
  3. Step 3: Cross multiply
    7,644.88x = 10,549.95 × 4,460.36
  4. Step 4: Simplify right side
    7,644.88x = 47,056,552.68
  5. Step 5: Solve for x
    x = 47,056,552.68/7,644.88
  6. Step 6: Final answer
    x = 6,155.31

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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.