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Finding the Fourth Proportional to 7,117.85, 9,826.44 and 4,763.99

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Solution

The fourth proportional to 7,117.85, 9,826.44 and 4,763.99 is: 6,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.85 : 9,826.44 = 4,763.99 : x
  2. Step 2: Convert to fraction form
    7,117.85/9,826.44 = 4,763.99/x
  3. Step 3: Cross multiply
    7,117.85x = 9,826.44 × 4,763.99
  4. Step 4: Simplify right side
    7,117.85x = 46,813,061.90
  5. Step 5: Solve for x
    x = 46,813,061.90/7,117.85
  6. Step 6: Final answer
    x = 6,576.85

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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.