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Finding the Fourth Proportional to 13,583, 18,738.60 and 9,607.52

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Solution

The fourth proportional to 13,583, 18,738.60 and 9,607.52 is: 13,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583 : 18,738.60 = 9,607.52 : x
  2. Step 2: Convert to fraction form
    13,583/18,738.60 = 9,607.52/x
  3. Step 3: Cross multiply
    13,583x = 18,738.60 × 9,607.52
  4. Step 4: Simplify right side
    13,583x = 180,031,474.27
  5. Step 5: Solve for x
    x = 180,031,474.27/13,583
  6. Step 6: Final answer
    x = 13,254.18

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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.