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Finding the Fourth Proportional to 9,605.13, 13,252.04 and 7,582.16

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Solution

The fourth proportional to 9,605.13, 13,252.04 and 7,582.16 is: 10,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.13 : 13,252.04 = 7,582.16 : x
  2. Step 2: Convert to fraction form
    9,605.13/13,252.04 = 7,582.16/x
  3. Step 3: Cross multiply
    9,605.13x = 13,252.04 × 7,582.16
  4. Step 4: Simplify right side
    9,605.13x = 100,478,983.44
  5. Step 5: Solve for x
    x = 100,478,983.44/9,605.13
  6. Step 6: Final answer
    x = 10,460.97

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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.