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Finding the Fourth Proportional to 5,964, 8,948.16 and 5,484.48

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Solution

The fourth proportional to 5,964, 8,948.16 and 5,484.48 is: 8,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964 : 8,948.16 = 5,484.48 : x
  2. Step 2: Convert to fraction form
    5,964/8,948.16 = 5,484.48/x
  3. Step 3: Cross multiply
    5,964x = 8,948.16 × 5,484.48
  4. Step 4: Simplify right side
    5,964x = 49,076,004.56
  5. Step 5: Solve for x
    x = 49,076,004.56/5,964
  6. Step 6: Final answer
    x = 8,228.71

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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.