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Finding the Fourth Proportional to 9,579.04, 14,378.24 and 6,808.84

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Solution

The fourth proportional to 9,579.04, 14,378.24 and 6,808.84 is: 10,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.04 : 14,378.24 = 6,808.84 : x
  2. Step 2: Convert to fraction form
    9,579.04/14,378.24 = 6,808.84/x
  3. Step 3: Cross multiply
    9,579.04x = 14,378.24 × 6,808.84
  4. Step 4: Simplify right side
    9,579.04x = 97,899,135.64
  5. Step 5: Solve for x
    x = 97,899,135.64/9,579.04
  6. Step 6: Final answer
    x = 10,220.14

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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.