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Finding the Fourth Proportional to 9,308.84, 13,968.04 and 5,148.08

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Solution

The fourth proportional to 9,308.84, 13,968.04 and 5,148.08 is: 7,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.84 : 13,968.04 = 5,148.08 : x
  2. Step 2: Convert to fraction form
    9,308.84/13,968.04 = 5,148.08/x
  3. Step 3: Cross multiply
    9,308.84x = 13,968.04 × 5,148.08
  4. Step 4: Simplify right side
    9,308.84x = 71,908,587.36
  5. Step 5: Solve for x
    x = 71,908,587.36/9,308.84
  6. Step 6: Final answer
    x = 7,724.76

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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.