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Finding the Fourth Proportional to 9,748.84, 13,449.08 and 6,771.84

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Solution

The fourth proportional to 9,748.84, 13,449.08 and 6,771.84 is: 9,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.84 : 13,449.08 = 6,771.84 : x
  2. Step 2: Convert to fraction form
    9,748.84/13,449.08 = 6,771.84/x
  3. Step 3: Cross multiply
    9,748.84x = 13,449.08 × 6,771.84
  4. Step 4: Simplify right side
    9,748.84x = 91,075,017.91
  5. Step 5: Solve for x
    x = 91,075,017.91/9,748.84
  6. Step 6: Final answer
    x = 9,342.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.