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Finding the Fourth Proportional to 4,785.54, 7,178.36 and 1,973.74

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Solution

The fourth proportional to 4,785.54, 7,178.36 and 1,973.74 is: 2,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.54 : 7,178.36 = 1,973.74 : x
  2. Step 2: Convert to fraction form
    4,785.54/7,178.36 = 1,973.74/x
  3. Step 3: Cross multiply
    4,785.54x = 7,178.36 × 1,973.74
  4. Step 4: Simplify right side
    4,785.54x = 14,168,216.27
  5. Step 5: Solve for x
    x = 14,168,216.27/4,785.54
  6. Step 6: Final answer
    x = 2,960.63

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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.