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Finding the Fourth Proportional to 7,804.50, 11,706.75 and 2,332.50

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Solution

The fourth proportional to 7,804.50, 11,706.75 and 2,332.50 is: 3,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.50 : 11,706.75 = 2,332.50 : x
  2. Step 2: Convert to fraction form
    7,804.50/11,706.75 = 2,332.50/x
  3. Step 3: Cross multiply
    7,804.50x = 11,706.75 × 2,332.50
  4. Step 4: Simplify right side
    7,804.50x = 27,305,994.38
  5. Step 5: Solve for x
    x = 27,305,994.38/7,804.50
  6. Step 6: Final answer
    x = 3,498.75

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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.