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Finding the Fourth Proportional to 9,497.78, 14,249.74 and 4,567.78

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Solution

The fourth proportional to 9,497.78, 14,249.74 and 4,567.78 is: 6,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.78 : 14,249.74 = 4,567.78 : x
  2. Step 2: Convert to fraction form
    9,497.78/14,249.74 = 4,567.78/x
  3. Step 3: Cross multiply
    9,497.78x = 14,249.74 × 4,567.78
  4. Step 4: Simplify right side
    9,497.78x = 65,089,677.38
  5. Step 5: Solve for x
    x = 65,089,677.38/9,497.78
  6. Step 6: Final answer
    x = 6,853.15

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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.