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Finding the Fourth Proportional to 9,652.84, 13,321.20 and 5,461

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Solution

The fourth proportional to 9,652.84, 13,321.20 and 5,461 is: 7,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.84 : 13,321.20 = 5,461 : x
  2. Step 2: Convert to fraction form
    9,652.84/13,321.20 = 5,461/x
  3. Step 3: Cross multiply
    9,652.84x = 13,321.20 × 5,461
  4. Step 4: Simplify right side
    9,652.84x = 72,747,073.20
  5. Step 5: Solve for x
    x = 72,747,073.20/9,652.84
  6. Step 6: Final answer
    x = 7,536.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.