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Finding the Fourth Proportional to 7,970.93, 10,999.93 and 4,434.14

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Solution

The fourth proportional to 7,970.93, 10,999.93 and 4,434.14 is: 6,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.93 : 10,999.93 = 4,434.14 : x
  2. Step 2: Convert to fraction form
    7,970.93/10,999.93 = 4,434.14/x
  3. Step 3: Cross multiply
    7,970.93x = 10,999.93 × 4,434.14
  4. Step 4: Simplify right side
    7,970.93x = 48,775,241.87
  5. Step 5: Solve for x
    x = 48,775,241.87/7,970.93
  6. Step 6: Final answer
    x = 6,119.14

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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.