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Finding the Fourth Proportional to 4,558.47, 6,837.47 and 1,785.65

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Solution

The fourth proportional to 4,558.47, 6,837.47 and 1,785.65 is: 2,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.47 : 6,837.47 = 1,785.65 : x
  2. Step 2: Convert to fraction form
    4,558.47/6,837.47 = 1,785.65/x
  3. Step 3: Cross multiply
    4,558.47x = 6,837.47 × 1,785.65
  4. Step 4: Simplify right side
    4,558.47x = 12,209,328.31
  5. Step 5: Solve for x
    x = 12,209,328.31/4,558.47
  6. Step 6: Final answer
    x = 2,678.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.