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Finding the Fourth Proportional to 10,553, 14,561.88 and 5,836.64

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Solution

The fourth proportional to 10,553, 14,561.88 and 5,836.64 is: 8,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553 : 14,561.88 = 5,836.64 : x
  2. Step 2: Convert to fraction form
    10,553/14,561.88 = 5,836.64/x
  3. Step 3: Cross multiply
    10,553x = 14,561.88 × 5,836.64
  4. Step 4: Simplify right side
    10,553x = 84,992,451.28
  5. Step 5: Solve for x
    x = 84,992,451.28/10,553
  6. Step 6: Final answer
    x = 8,053.87

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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.