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Finding the Fourth Proportional to 9,773.84, 14,662.20 and 3,534.32

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Solution

The fourth proportional to 9,773.84, 14,662.20 and 3,534.32 is: 5,302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.84 : 14,662.20 = 3,534.32 : x
  2. Step 2: Convert to fraction form
    9,773.84/14,662.20 = 3,534.32/x
  3. Step 3: Cross multiply
    9,773.84x = 14,662.20 × 3,534.32
  4. Step 4: Simplify right side
    9,773.84x = 51,820,906.70
  5. Step 5: Solve for x
    x = 51,820,906.70/9,773.84
  6. Step 6: Final answer
    x = 5,302.00

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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.