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Finding the Fourth Proportional to 21,905.30, 32,866.05 and 7,114.70

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Solution

The fourth proportional to 21,905.30, 32,866.05 and 7,114.70 is: 10,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.30 : 32,866.05 = 7,114.70 : x
  2. Step 2: Convert to fraction form
    21,905.30/32,866.05 = 7,114.70/x
  3. Step 3: Cross multiply
    21,905.30x = 32,866.05 × 7,114.70
  4. Step 4: Simplify right side
    21,905.30x = 233,832,085.94
  5. Step 5: Solve for x
    x = 233,832,085.94/21,905.30
  6. Step 6: Final answer
    x = 10,674.68

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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.