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Finding the Fourth Proportional to 6,999.17, 9,657.17 and 3,973.62

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Solution

The fourth proportional to 6,999.17, 9,657.17 and 3,973.62 is: 5,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.17 : 9,657.17 = 3,973.62 : x
  2. Step 2: Convert to fraction form
    6,999.17/9,657.17 = 3,973.62/x
  3. Step 3: Cross multiply
    6,999.17x = 9,657.17 × 3,973.62
  4. Step 4: Simplify right side
    6,999.17x = 38,373,923.13
  5. Step 5: Solve for x
    x = 38,373,923.13/6,999.17
  6. Step 6: Final answer
    x = 5,482.64

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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.