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Finding the Fourth Proportional to 8,312.10, 12,482.55 and 5,864.10

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Solution

The fourth proportional to 8,312.10, 12,482.55 and 5,864.10 is: 8,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.10 : 12,482.55 = 5,864.10 : x
  2. Step 2: Convert to fraction form
    8,312.10/12,482.55 = 5,864.10/x
  3. Step 3: Cross multiply
    8,312.10x = 12,482.55 × 5,864.10
  4. Step 4: Simplify right side
    8,312.10x = 73,198,921.46
  5. Step 5: Solve for x
    x = 73,198,921.46/8,312.10
  6. Step 6: Final answer
    x = 8,806.31

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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.