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Finding the Fourth Proportional to 9,776.68, 14,667.74 and 3,207.48

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Solution

The fourth proportional to 9,776.68, 14,667.74 and 3,207.48 is: 4,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.68 : 14,667.74 = 3,207.48 : x
  2. Step 2: Convert to fraction form
    9,776.68/14,667.74 = 3,207.48/x
  3. Step 3: Cross multiply
    9,776.68x = 14,667.74 × 3,207.48
  4. Step 4: Simplify right side
    9,776.68x = 47,046,482.70
  5. Step 5: Solve for x
    x = 47,046,482.70/9,776.68
  6. Step 6: Final answer
    x = 4,812.11

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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.