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Finding the Fourth Proportional to 10,922.80, 16,384.20 and 7,812.40

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Solution

The fourth proportional to 10,922.80, 16,384.20 and 7,812.40 is: 11,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.80 : 16,384.20 = 7,812.40 : x
  2. Step 2: Convert to fraction form
    10,922.80/16,384.20 = 7,812.40/x
  3. Step 3: Cross multiply
    10,922.80x = 16,384.20 × 7,812.40
  4. Step 4: Simplify right side
    10,922.80x = 127,999,924.08
  5. Step 5: Solve for x
    x = 127,999,924.08/10,922.80
  6. Step 6: Final answer
    x = 11,718.60

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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.