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Finding the Fourth Proportional to 8,204.70, 12,312.45 and 4,694.70

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Solution

The fourth proportional to 8,204.70, 12,312.45 and 4,694.70 is: 7,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.70 : 12,312.45 = 4,694.70 : x
  2. Step 2: Convert to fraction form
    8,204.70/12,312.45 = 4,694.70/x
  3. Step 3: Cross multiply
    8,204.70x = 12,312.45 × 4,694.70
  4. Step 4: Simplify right side
    8,204.70x = 57,803,259.02
  5. Step 5: Solve for x
    x = 57,803,259.02/8,204.70
  6. Step 6: Final answer
    x = 7,045.14

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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.