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Finding the Fourth Proportional to 9,605.87, 13,262.16 and 7,363.59

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Solution

The fourth proportional to 9,605.87, 13,262.16 and 7,363.59 is: 10,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.87 : 13,262.16 = 7,363.59 : x
  2. Step 2: Convert to fraction form
    9,605.87/13,262.16 = 7,363.59/x
  3. Step 3: Cross multiply
    9,605.87x = 13,262.16 × 7,363.59
  4. Step 4: Simplify right side
    9,605.87x = 97,657,108.75
  5. Step 5: Solve for x
    x = 97,657,108.75/9,605.87
  6. Step 6: Final answer
    x = 10,166.40

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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.