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Finding the Fourth Proportional to 4,230.09, 5,836.09 and 2,460.24

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Solution

The fourth proportional to 4,230.09, 5,836.09 and 2,460.24 is: 3,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.09 : 5,836.09 = 2,460.24 : x
  2. Step 2: Convert to fraction form
    4,230.09/5,836.09 = 2,460.24/x
  3. Step 3: Cross multiply
    4,230.09x = 5,836.09 × 2,460.24
  4. Step 4: Simplify right side
    4,230.09x = 14,358,182.06
  5. Step 5: Solve for x
    x = 14,358,182.06/4,230.09
  6. Step 6: Final answer
    x = 3,394.30

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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.