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Finding the Fourth Proportional to 10,598.32, 14,618.08 and 6,563.84

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Solution

The fourth proportional to 10,598.32, 14,618.08 and 6,563.84 is: 9,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.32 : 14,618.08 = 6,563.84 : x
  2. Step 2: Convert to fraction form
    10,598.32/14,618.08 = 6,563.84/x
  3. Step 3: Cross multiply
    10,598.32x = 14,618.08 × 6,563.84
  4. Step 4: Simplify right side
    10,598.32x = 95,950,738.23
  5. Step 5: Solve for x
    x = 95,950,738.23/10,598.32
  6. Step 6: Final answer
    x = 9,053.39

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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.