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Finding the Fourth Proportional to 7,006.56, 9,664.29 and 5,951.40

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Solution

The fourth proportional to 7,006.56, 9,664.29 and 5,951.40 is: 8,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.56 : 9,664.29 = 5,951.40 : x
  2. Step 2: Convert to fraction form
    7,006.56/9,664.29 = 5,951.40/x
  3. Step 3: Cross multiply
    7,006.56x = 9,664.29 × 5,951.40
  4. Step 4: Simplify right side
    7,006.56x = 57,516,055.51
  5. Step 5: Solve for x
    x = 57,516,055.51/7,006.56
  6. Step 6: Final answer
    x = 8,208.89

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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.