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Finding the Fourth Proportional to 9,304.84, 13,955.80 and 7,733.65

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Solution

The fourth proportional to 9,304.84, 13,955.80 and 7,733.65 is: 11,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.84 : 13,955.80 = 7,733.65 : x
  2. Step 2: Convert to fraction form
    9,304.84/13,955.80 = 7,733.65/x
  3. Step 3: Cross multiply
    9,304.84x = 13,955.80 × 7,733.65
  4. Step 4: Simplify right side
    9,304.84x = 107,929,303.80
  5. Step 5: Solve for x
    x = 107,929,303.80/9,304.84
  6. Step 6: Final answer
    x = 11,599.26

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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.