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Finding the Fourth Proportional to 9,811.63, 14,712.82 and 3,567.25

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Solution

The fourth proportional to 9,811.63, 14,712.82 and 3,567.25 is: 5,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.63 : 14,712.82 = 3,567.25 : x
  2. Step 2: Convert to fraction form
    9,811.63/14,712.82 = 3,567.25/x
  3. Step 3: Cross multiply
    9,811.63x = 14,712.82 × 3,567.25
  4. Step 4: Simplify right side
    9,811.63x = 52,484,307.15
  5. Step 5: Solve for x
    x = 52,484,307.15/9,811.63
  6. Step 6: Final answer
    x = 5,349.19

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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.