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Finding the Fourth Proportional to 4,777.66, 6,593.05 and 2,653.14

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Solution

The fourth proportional to 4,777.66, 6,593.05 and 2,653.14 is: 3,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.66 : 6,593.05 = 2,653.14 : x
  2. Step 2: Convert to fraction form
    4,777.66/6,593.05 = 2,653.14/x
  3. Step 3: Cross multiply
    4,777.66x = 6,593.05 × 2,653.14
  4. Step 4: Simplify right side
    4,777.66x = 17,492,312.72
  5. Step 5: Solve for x
    x = 17,492,312.72/4,777.66
  6. Step 6: Final answer
    x = 3,661.27

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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.