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Finding the Fourth Proportional to 15,946.50, 22,006.18 and 9,322.50

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Solution

The fourth proportional to 15,946.50, 22,006.18 and 9,322.50 is: 12,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.50 : 22,006.18 = 9,322.50 : x
  2. Step 2: Convert to fraction form
    15,946.50/22,006.18 = 9,322.50/x
  3. Step 3: Cross multiply
    15,946.50x = 22,006.18 × 9,322.50
  4. Step 4: Simplify right side
    15,946.50x = 205,152,613.05
  5. Step 5: Solve for x
    x = 205,152,613.05/15,946.50
  6. Step 6: Final answer
    x = 12,865.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.