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Finding the Fourth Proportional to 14,497.90, 21,750.90 and 7,102.60

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Solution

The fourth proportional to 14,497.90, 21,750.90 and 7,102.60 is: 10,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.90 : 21,750.90 = 7,102.60 : x
  2. Step 2: Convert to fraction form
    14,497.90/21,750.90 = 7,102.60/x
  3. Step 3: Cross multiply
    14,497.90x = 21,750.90 × 7,102.60
  4. Step 4: Simplify right side
    14,497.90x = 154,487,942.34
  5. Step 5: Solve for x
    x = 154,487,942.34/14,497.90
  6. Step 6: Final answer
    x = 10,655.88

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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.