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Finding the Fourth Proportional to 21,934.66, 32,898.63 and 7,143.46

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Solution

The fourth proportional to 21,934.66, 32,898.63 and 7,143.46 is: 10,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.66 : 32,898.63 = 7,143.46 : x
  2. Step 2: Convert to fraction form
    21,934.66/32,898.63 = 7,143.46/x
  3. Step 3: Cross multiply
    21,934.66x = 32,898.63 × 7,143.46
  4. Step 4: Simplify right side
    21,934.66x = 235,010,047.46
  5. Step 5: Solve for x
    x = 235,010,047.46/21,934.66
  6. Step 6: Final answer
    x = 10,714.10

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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.