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Finding the Fourth Proportional to 8,929.84, 12,322.80 and 4,951.12

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Solution

The fourth proportional to 8,929.84, 12,322.80 and 4,951.12 is: 6,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,929.84 : 12,322.80 = 4,951.12 : x
  2. Step 2: Convert to fraction form
    8,929.84/12,322.80 = 4,951.12/x
  3. Step 3: Cross multiply
    8,929.84x = 12,322.80 × 4,951.12
  4. Step 4: Simplify right side
    8,929.84x = 61,011,661.54
  5. Step 5: Solve for x
    x = 61,011,661.54/8,929.84
  6. Step 6: Final answer
    x = 6,832.34

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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.