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Finding the Fourth Proportional to 8,663.42, 11,955.49 and 4,684.53

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Solution

The fourth proportional to 8,663.42, 11,955.49 and 4,684.53 is: 6,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.42 : 11,955.49 = 4,684.53 : x
  2. Step 2: Convert to fraction form
    8,663.42/11,955.49 = 4,684.53/x
  3. Step 3: Cross multiply
    8,663.42x = 11,955.49 × 4,684.53
  4. Step 4: Simplify right side
    8,663.42x = 56,005,884.69
  5. Step 5: Solve for x
    x = 56,005,884.69/8,663.42
  6. Step 6: Final answer
    x = 6,464.64

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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.