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Finding the Fourth Proportional to 10,463, 15,698.56 and 3,537.50

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Solution

The fourth proportional to 10,463, 15,698.56 and 3,537.50 is: 5,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463 : 15,698.56 = 3,537.50 : x
  2. Step 2: Convert to fraction form
    10,463/15,698.56 = 3,537.50/x
  3. Step 3: Cross multiply
    10,463x = 15,698.56 × 3,537.50
  4. Step 4: Simplify right side
    10,463x = 55,533,656
  5. Step 5: Solve for x
    x = 55,533,656/10,463
  6. Step 6: Final answer
    x = 5,307.62

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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.