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Finding the Fourth Proportional to 5,236.41, 7,854.64 and 4,973.64

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Solution

The fourth proportional to 5,236.41, 7,854.64 and 4,973.64 is: 7,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.41 : 7,854.64 = 4,973.64 : x
  2. Step 2: Convert to fraction form
    5,236.41/7,854.64 = 4,973.64/x
  3. Step 3: Cross multiply
    5,236.41x = 7,854.64 × 4,973.64
  4. Step 4: Simplify right side
    5,236.41x = 39,066,109.80
  5. Step 5: Solve for x
    x = 39,066,109.80/5,236.41
  6. Step 6: Final answer
    x = 7,460.47

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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.