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Finding the Fourth Proportional to 10,573.36, 15,850.32 and 3,643

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Solution

The fourth proportional to 10,573.36, 15,850.32 and 3,643 is: 5,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.36 : 15,850.32 = 3,643 : x
  2. Step 2: Convert to fraction form
    10,573.36/15,850.32 = 3,643/x
  3. Step 3: Cross multiply
    10,573.36x = 15,850.32 × 3,643
  4. Step 4: Simplify right side
    10,573.36x = 57,742,715.76
  5. Step 5: Solve for x
    x = 57,742,715.76/10,573.36
  6. Step 6: Final answer
    x = 5,461.15

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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.