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Finding the Fourth Proportional to 10,646.15, 15,968.52 and 4,404.53

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Solution

The fourth proportional to 10,646.15, 15,968.52 and 4,404.53 is: 6,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.15 : 15,968.52 = 4,404.53 : x
  2. Step 2: Convert to fraction form
    10,646.15/15,968.52 = 4,404.53/x
  3. Step 3: Cross multiply
    10,646.15x = 15,968.52 × 4,404.53
  4. Step 4: Simplify right side
    10,646.15x = 70,333,825.40
  5. Step 5: Solve for x
    x = 70,333,825.40/10,646.15
  6. Step 6: Final answer
    x = 6,606.50

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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.