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Finding the Fourth Proportional to 21,782.32, 32,677.74 and 6,990.10

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Solution

The fourth proportional to 21,782.32, 32,677.74 and 6,990.10 is: 10,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.32 : 32,677.74 = 6,990.10 : x
  2. Step 2: Convert to fraction form
    21,782.32/32,677.74 = 6,990.10/x
  3. Step 3: Cross multiply
    21,782.32x = 32,677.74 × 6,990.10
  4. Step 4: Simplify right side
    21,782.32x = 228,420,685.01
  5. Step 5: Solve for x
    x = 228,420,685.01/21,782.32
  6. Step 6: Final answer
    x = 10,486.52

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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.