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Finding the Fourth Proportional to 3,312.90, 4,969.31 and 847.67

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Solution

The fourth proportional to 3,312.90, 4,969.31 and 847.67 is: 1,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.90 : 4,969.31 = 847.67 : x
  2. Step 2: Convert to fraction form
    3,312.90/4,969.31 = 847.67/x
  3. Step 3: Cross multiply
    3,312.90x = 4,969.31 × 847.67
  4. Step 4: Simplify right side
    3,312.90x = 4,212,343.19
  5. Step 5: Solve for x
    x = 4,212,343.19/3,312.90
  6. Step 6: Final answer
    x = 1,271.50

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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.