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Finding the Fourth Proportional to 9,645.84, 14,429.16 and 7,701.84

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Solution

The fourth proportional to 9,645.84, 14,429.16 and 7,701.84 is: 11,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.84 : 14,429.16 = 7,701.84 : x
  2. Step 2: Convert to fraction form
    9,645.84/14,429.16 = 7,701.84/x
  3. Step 3: Cross multiply
    9,645.84x = 14,429.16 × 7,701.84
  4. Step 4: Simplify right side
    9,645.84x = 111,131,081.65
  5. Step 5: Solve for x
    x = 111,131,081.65/9,645.84
  6. Step 6: Final answer
    x = 11,521.14

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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.