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Finding the Fourth Proportional to 3,312.91, 4,969.32 and 847.71

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Solution

The fourth proportional to 3,312.91, 4,969.32 and 847.71 is: 1,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.91 : 4,969.32 = 847.71 : x
  2. Step 2: Convert to fraction form
    3,312.91/4,969.32 = 847.71/x
  3. Step 3: Cross multiply
    3,312.91x = 4,969.32 × 847.71
  4. Step 4: Simplify right side
    3,312.91x = 4,212,539.08
  5. Step 5: Solve for x
    x = 4,212,539.08/3,312.91
  6. Step 6: Final answer
    x = 1,271.55

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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.