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Finding the Fourth Proportional to 14,602.14, 21,917.04 and 9,038.64

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Solution

The fourth proportional to 14,602.14, 21,917.04 and 9,038.64 is: 13,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.14 : 21,917.04 = 9,038.64 : x
  2. Step 2: Convert to fraction form
    14,602.14/21,917.04 = 9,038.64/x
  3. Step 3: Cross multiply
    14,602.14x = 21,917.04 × 9,038.64
  4. Step 4: Simplify right side
    14,602.14x = 198,100,234.43
  5. Step 5: Solve for x
    x = 198,100,234.43/14,602.14
  6. Step 6: Final answer
    x = 13,566.52

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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.