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Finding the Fourth Proportional to 9,763.50, 14,646.06 and 2,838

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Solution

The fourth proportional to 9,763.50, 14,646.06 and 2,838 is: 4,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.50 : 14,646.06 = 2,838 : x
  2. Step 2: Convert to fraction form
    9,763.50/14,646.06 = 2,838/x
  3. Step 3: Cross multiply
    9,763.50x = 14,646.06 × 2,838
  4. Step 4: Simplify right side
    9,763.50x = 41,565,518.28
  5. Step 5: Solve for x
    x = 41,565,518.28/9,763.50
  6. Step 6: Final answer
    x = 4,257.24

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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.