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Finding the Fourth Proportional to 10,431, 15,646.34 and 2,533.58

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Solution

The fourth proportional to 10,431, 15,646.34 and 2,533.58 is: 3,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431 : 15,646.34 = 2,533.58 : x
  2. Step 2: Convert to fraction form
    10,431/15,646.34 = 2,533.58/x
  3. Step 3: Cross multiply
    10,431x = 15,646.34 × 2,533.58
  4. Step 4: Simplify right side
    10,431x = 39,641,254.10
  5. Step 5: Solve for x
    x = 39,641,254.10/10,431
  6. Step 6: Final answer
    x = 3,800.33

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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.