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Finding the Fourth Proportional to 10,491.16, 15,735.62 and 6,583.96

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Solution

The fourth proportional to 10,491.16, 15,735.62 and 6,583.96 is: 9,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.16 : 15,735.62 = 6,583.96 : x
  2. Step 2: Convert to fraction form
    10,491.16/15,735.62 = 6,583.96/x
  3. Step 3: Cross multiply
    10,491.16x = 15,735.62 × 6,583.96
  4. Step 4: Simplify right side
    10,491.16x = 103,602,692.66
  5. Step 5: Solve for x
    x = 103,602,692.66/10,491.16
  6. Step 6: Final answer
    x = 9,875.24

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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.