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Finding the Fourth Proportional to 13,835, 20,752.50 and 4,482.86

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Solution

The fourth proportional to 13,835, 20,752.50 and 4,482.86 is: 6,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835 : 20,752.50 = 4,482.86 : x
  2. Step 2: Convert to fraction form
    13,835/20,752.50 = 4,482.86/x
  3. Step 3: Cross multiply
    13,835x = 20,752.50 × 4,482.86
  4. Step 4: Simplify right side
    13,835x = 93,030,552.15
  5. Step 5: Solve for x
    x = 93,030,552.15/13,835
  6. Step 6: Final answer
    x = 6,724.29

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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.