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Finding the Fourth Proportional to 6,130.46, 8,460.06 and 3,477.38

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Solution

The fourth proportional to 6,130.46, 8,460.06 and 3,477.38 is: 4,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.46 : 8,460.06 = 3,477.38 : x
  2. Step 2: Convert to fraction form
    6,130.46/8,460.06 = 3,477.38/x
  3. Step 3: Cross multiply
    6,130.46x = 8,460.06 × 3,477.38
  4. Step 4: Simplify right side
    6,130.46x = 29,418,843.44
  5. Step 5: Solve for x
    x = 29,418,843.44/6,130.46
  6. Step 6: Final answer
    x = 4,798.80

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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.