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Finding the Fourth Proportional to 9,830.87, 13,585.87 and 8,737.37

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Solution

The fourth proportional to 9,830.87, 13,585.87 and 8,737.37 is: 12,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.87 : 13,585.87 = 8,737.37 : x
  2. Step 2: Convert to fraction form
    9,830.87/13,585.87 = 8,737.37/x
  3. Step 3: Cross multiply
    9,830.87x = 13,585.87 × 8,737.37
  4. Step 4: Simplify right side
    9,830.87x = 118,704,772.96
  5. Step 5: Solve for x
    x = 118,704,772.96/9,830.87
  6. Step 6: Final answer
    x = 12,074.70

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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.