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Finding the Fourth Proportional to 14,709.75, 22,064.63 and 4,321.50

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Solution

The fourth proportional to 14,709.75, 22,064.63 and 4,321.50 is: 6,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.75 : 22,064.63 = 4,321.50 : x
  2. Step 2: Convert to fraction form
    14,709.75/22,064.63 = 4,321.50/x
  3. Step 3: Cross multiply
    14,709.75x = 22,064.63 × 4,321.50
  4. Step 4: Simplify right side
    14,709.75x = 95,352,276.94
  5. Step 5: Solve for x
    x = 95,352,276.94/14,709.75
  6. Step 6: Final answer
    x = 6,482.25

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1.5x scale

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.