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Finding the Fourth Proportional to 14,709.60, 22,038.80 and 9,512.80

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Solution

The fourth proportional to 14,709.60, 22,038.80 and 9,512.80 is: 14,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.60 : 22,038.80 = 9,512.80 : x
  2. Step 2: Convert to fraction form
    14,709.60/22,038.80 = 9,512.80/x
  3. Step 3: Cross multiply
    14,709.60x = 22,038.80 × 9,512.80
  4. Step 4: Simplify right side
    14,709.60x = 209,650,696.64
  5. Step 5: Solve for x
    x = 209,650,696.64/14,709.60
  6. Step 6: Final answer
    x = 14,252.64

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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.