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Finding the Fourth Proportional to 6,589.95, 9,097.10 and 4,203.13

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Solution

The fourth proportional to 6,589.95, 9,097.10 and 4,203.13 is: 5,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.95 : 9,097.10 = 4,203.13 : x
  2. Step 2: Convert to fraction form
    6,589.95/9,097.10 = 4,203.13/x
  3. Step 3: Cross multiply
    6,589.95x = 9,097.10 × 4,203.13
  4. Step 4: Simplify right side
    6,589.95x = 38,236,293.92
  5. Step 5: Solve for x
    x = 38,236,293.92/6,589.95
  6. Step 6: Final answer
    x = 5,802.21

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Half scale
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Double scale
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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.