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Finding the Fourth Proportional to 9,786.42, 14,679.63 and 3,547.26

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Solution

The fourth proportional to 9,786.42, 14,679.63 and 3,547.26 is: 5,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.42 : 14,679.63 = 3,547.26 : x
  2. Step 2: Convert to fraction form
    9,786.42/14,679.63 = 3,547.26/x
  3. Step 3: Cross multiply
    9,786.42x = 14,679.63 × 3,547.26
  4. Step 4: Simplify right side
    9,786.42x = 52,072,464.31
  5. Step 5: Solve for x
    x = 52,072,464.31/9,786.42
  6. Step 6: Final answer
    x = 5,320.89

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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.