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Finding the Fourth Proportional to 7,800.93, 11,706.86 and 4,509.50

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Solution

The fourth proportional to 7,800.93, 11,706.86 and 4,509.50 is: 6,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.93 : 11,706.86 = 4,509.50 : x
  2. Step 2: Convert to fraction form
    7,800.93/11,706.86 = 4,509.50/x
  3. Step 3: Cross multiply
    7,800.93x = 11,706.86 × 4,509.50
  4. Step 4: Simplify right side
    7,800.93x = 52,792,037.91
  5. Step 5: Solve for x
    x = 52,792,037.91/7,800.93
  6. Step 6: Final answer
    x = 6,767.40

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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.