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Finding the Fourth Proportional to 7,774.14, 10,735.02 and 6,666.06

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Solution

The fourth proportional to 7,774.14, 10,735.02 and 6,666.06 is: 9,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.14 : 10,735.02 = 6,666.06 : x
  2. Step 2: Convert to fraction form
    7,774.14/10,735.02 = 6,666.06/x
  3. Step 3: Cross multiply
    7,774.14x = 10,735.02 × 6,666.06
  4. Step 4: Simplify right side
    7,774.14x = 71,560,287.42
  5. Step 5: Solve for x
    x = 71,560,287.42/7,774.14
  6. Step 6: Final answer
    x = 9,204.91

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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.