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Finding the Fourth Proportional to 6,772, 9,349.20 and 5,113.12

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Solution

The fourth proportional to 6,772, 9,349.20 and 5,113.12 is: 7,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772 : 9,349.20 = 5,113.12 : x
  2. Step 2: Convert to fraction form
    6,772/9,349.20 = 5,113.12/x
  3. Step 3: Cross multiply
    6,772x = 9,349.20 × 5,113.12
  4. Step 4: Simplify right side
    6,772x = 47,803,581.50
  5. Step 5: Solve for x
    x = 47,803,581.50/6,772
  6. Step 6: Final answer
    x = 7,059.00

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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.