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Finding the Fourth Proportional to 10,483.94, 15,726.90 and 3,464

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Solution

The fourth proportional to 10,483.94, 15,726.90 and 3,464 is: 5,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.94 : 15,726.90 = 3,464 : x
  2. Step 2: Convert to fraction form
    10,483.94/15,726.90 = 3,464/x
  3. Step 3: Cross multiply
    10,483.94x = 15,726.90 × 3,464
  4. Step 4: Simplify right side
    10,483.94x = 54,477,981.60
  5. Step 5: Solve for x
    x = 54,477,981.60/10,483.94
  6. Step 6: Final answer
    x = 5,196.33

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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.