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Finding the Fourth Proportional to 9,606.64, 13,252.12 and 7,816.12

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Solution

The fourth proportional to 9,606.64, 13,252.12 and 7,816.12 is: 10,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.64 : 13,252.12 = 7,816.12 : x
  2. Step 2: Convert to fraction form
    9,606.64/13,252.12 = 7,816.12/x
  3. Step 3: Cross multiply
    9,606.64x = 13,252.12 × 7,816.12
  4. Step 4: Simplify right side
    9,606.64x = 103,580,151.47
  5. Step 5: Solve for x
    x = 103,580,151.47/9,606.64
  6. Step 6: Final answer
    x = 10,782.14

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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.