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Finding the Fourth Proportional to 7,804.46, 11,706.84 and 3,643.34

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Solution

The fourth proportional to 7,804.46, 11,706.84 and 3,643.34 is: 5,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.46 : 11,706.84 = 3,643.34 : x
  2. Step 2: Convert to fraction form
    7,804.46/11,706.84 = 3,643.34/x
  3. Step 3: Cross multiply
    7,804.46x = 11,706.84 × 3,643.34
  4. Step 4: Simplify right side
    7,804.46x = 42,651,939.91
  5. Step 5: Solve for x
    x = 42,651,939.91/7,804.46
  6. Step 6: Final answer
    x = 5,465.08

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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.