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Finding the Fourth Proportional to 7,866.23, 11,853.14 and 6,509.48

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Solution

The fourth proportional to 7,866.23, 11,853.14 and 6,509.48 is: 9,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.23 : 11,853.14 = 6,509.48 : x
  2. Step 2: Convert to fraction form
    7,866.23/11,853.14 = 6,509.48/x
  3. Step 3: Cross multiply
    7,866.23x = 11,853.14 × 6,509.48
  4. Step 4: Simplify right side
    7,866.23x = 77,157,774.85
  5. Step 5: Solve for x
    x = 77,157,774.85/7,866.23
  6. Step 6: Final answer
    x = 9,808.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.