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Finding the Fourth Proportional to 7,007.92, 9,675.87 and 4,496.50

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Solution

The fourth proportional to 7,007.92, 9,675.87 and 4,496.50 is: 6,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.92 : 9,675.87 = 4,496.50 : x
  2. Step 2: Convert to fraction form
    7,007.92/9,675.87 = 4,496.50/x
  3. Step 3: Cross multiply
    7,007.92x = 9,675.87 × 4,496.50
  4. Step 4: Simplify right side
    7,007.92x = 43,507,549.46
  5. Step 5: Solve for x
    x = 43,507,549.46/7,007.92
  6. Step 6: Final answer
    x = 6,208.34

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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.