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Finding the Fourth Proportional to 10,598.82, 15,889.88 and 6,695

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Solution

The fourth proportional to 10,598.82, 15,889.88 and 6,695 is: 10,037.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.82 : 15,889.88 = 6,695 : x
  2. Step 2: Convert to fraction form
    10,598.82/15,889.88 = 6,695/x
  3. Step 3: Cross multiply
    10,598.82x = 15,889.88 × 6,695
  4. Step 4: Simplify right side
    10,598.82x = 106,382,746.60
  5. Step 5: Solve for x
    x = 106,382,746.60/10,598.82
  6. Step 6: Final answer
    x = 10,037.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.