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Finding the Fourth Proportional to 7,144.94, 9,864.84 and 4,460.25

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Solution

The fourth proportional to 7,144.94, 9,864.84 and 4,460.25 is: 6,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.94 : 9,864.84 = 4,460.25 : x
  2. Step 2: Convert to fraction form
    7,144.94/9,864.84 = 4,460.25/x
  3. Step 3: Cross multiply
    7,144.94x = 9,864.84 × 4,460.25
  4. Step 4: Simplify right side
    7,144.94x = 43,999,630.31
  5. Step 5: Solve for x
    x = 43,999,630.31/7,144.94
  6. Step 6: Final answer
    x = 6,158.15

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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.