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Finding the Fourth Proportional to 7,008.96, 9,664.29 and 5,117.16

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Solution

The fourth proportional to 7,008.96, 9,664.29 and 5,117.16 is: 7,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.96 : 9,664.29 = 5,117.16 : x
  2. Step 2: Convert to fraction form
    7,008.96/9,664.29 = 5,117.16/x
  3. Step 3: Cross multiply
    7,008.96x = 9,664.29 × 5,117.16
  4. Step 4: Simplify right side
    7,008.96x = 49,453,718.22
  5. Step 5: Solve for x
    x = 49,453,718.22/7,008.96
  6. Step 6: Final answer
    x = 7,055.79

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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.