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Finding the Fourth Proportional to 6,966.23, 9,602.46 and 5,280.89

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Solution

The fourth proportional to 6,966.23, 9,602.46 and 5,280.89 is: 7,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.23 : 9,602.46 = 5,280.89 : x
  2. Step 2: Convert to fraction form
    6,966.23/9,602.46 = 5,280.89/x
  3. Step 3: Cross multiply
    6,966.23x = 9,602.46 × 5,280.89
  4. Step 4: Simplify right side
    6,966.23x = 50,709,486.98
  5. Step 5: Solve for x
    x = 50,709,486.98/6,966.23
  6. Step 6: Final answer
    x = 7,279.34

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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.