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Finding the Fourth Proportional to 8,930.32, 12,330.22 and 5,953.16

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Solution

The fourth proportional to 8,930.32, 12,330.22 and 5,953.16 is: 8,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930.32 : 12,330.22 = 5,953.16 : x
  2. Step 2: Convert to fraction form
    8,930.32/12,330.22 = 5,953.16/x
  3. Step 3: Cross multiply
    8,930.32x = 12,330.22 × 5,953.16
  4. Step 4: Simplify right side
    8,930.32x = 73,403,772.50
  5. Step 5: Solve for x
    x = 73,403,772.50/8,930.32
  6. Step 6: Final answer
    x = 8,219.62

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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.