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Finding the Fourth Proportional to 6,985.92, 9,653.04 and 5,200.64

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Solution

The fourth proportional to 6,985.92, 9,653.04 and 5,200.64 is: 7,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.92 : 9,653.04 = 5,200.64 : x
  2. Step 2: Convert to fraction form
    6,985.92/9,653.04 = 5,200.64/x
  3. Step 3: Cross multiply
    6,985.92x = 9,653.04 × 5,200.64
  4. Step 4: Simplify right side
    6,985.92x = 50,201,985.95
  5. Step 5: Solve for x
    x = 50,201,985.95/6,985.92
  6. Step 6: Final answer
    x = 7,186.17

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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.