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Finding the Fourth Proportional to 6,593.87, 9,090.06 and 4,702.16

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Solution

The fourth proportional to 6,593.87, 9,090.06 and 4,702.16 is: 6,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.87 : 9,090.06 = 4,702.16 : x
  2. Step 2: Convert to fraction form
    6,593.87/9,090.06 = 4,702.16/x
  3. Step 3: Cross multiply
    6,593.87x = 9,090.06 × 4,702.16
  4. Step 4: Simplify right side
    6,593.87x = 42,742,939.25
  5. Step 5: Solve for x
    x = 42,742,939.25/6,593.87
  6. Step 6: Final answer
    x = 6,482.23

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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.