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Finding the Fourth Proportional to 7,007.58, 9,670.42 and 3,863.77

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Solution

The fourth proportional to 7,007.58, 9,670.42 and 3,863.77 is: 5,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.58 : 9,670.42 = 3,863.77 : x
  2. Step 2: Convert to fraction form
    7,007.58/9,670.42 = 3,863.77/x
  3. Step 3: Cross multiply
    7,007.58x = 9,670.42 × 3,863.77
  4. Step 4: Simplify right side
    7,007.58x = 37,364,259.34
  5. Step 5: Solve for x
    x = 37,364,259.34/7,007.58
  6. Step 6: Final answer
    x = 5,331.98

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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.