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Finding the Fourth Proportional to 7,146.37, 9,866.81 and 4,461.68

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Solution

The fourth proportional to 7,146.37, 9,866.81 and 4,461.68 is: 6,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.37 : 9,866.81 = 4,461.68 : x
  2. Step 2: Convert to fraction form
    7,146.37/9,866.81 = 4,461.68/x
  3. Step 3: Cross multiply
    7,146.37x = 9,866.81 × 4,461.68
  4. Step 4: Simplify right side
    7,146.37x = 44,022,526.53
  5. Step 5: Solve for x
    x = 44,022,526.53/7,146.37
  6. Step 6: Final answer
    x = 6,160.12

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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.