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Finding the Fourth Proportional to 14,594.80, 21,880.20 and 6,281.20

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Solution

The fourth proportional to 14,594.80, 21,880.20 and 6,281.20 is: 9,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.80 : 21,880.20 = 6,281.20 : x
  2. Step 2: Convert to fraction form
    14,594.80/21,880.20 = 6,281.20/x
  3. Step 3: Cross multiply
    14,594.80x = 21,880.20 × 6,281.20
  4. Step 4: Simplify right side
    14,594.80x = 137,433,912.24
  5. Step 5: Solve for x
    x = 137,433,912.24/14,594.80
  6. Step 6: Final answer
    x = 9,416.64

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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.