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Finding the Fourth Proportional to 6,593.32, 9,102.08 and 5,097.84

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Solution

The fourth proportional to 6,593.32, 9,102.08 and 5,097.84 is: 7,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.32 : 9,102.08 = 5,097.84 : x
  2. Step 2: Convert to fraction form
    6,593.32/9,102.08 = 5,097.84/x
  3. Step 3: Cross multiply
    6,593.32x = 9,102.08 × 5,097.84
  4. Step 4: Simplify right side
    6,593.32x = 46,400,947.51
  5. Step 5: Solve for x
    x = 46,400,947.51/6,593.32
  6. Step 6: Final answer
    x = 7,037.57

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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.