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Finding the Fourth Proportional to 6,548.81, 9,039.47 and 4,869.68

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Solution

The fourth proportional to 6,548.81, 9,039.47 and 4,869.68 is: 6,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.81 : 9,039.47 = 4,869.68 : x
  2. Step 2: Convert to fraction form
    6,548.81/9,039.47 = 4,869.68/x
  3. Step 3: Cross multiply
    6,548.81x = 9,039.47 × 4,869.68
  4. Step 4: Simplify right side
    6,548.81x = 44,019,256.72
  5. Step 5: Solve for x
    x = 44,019,256.72/6,548.81
  6. Step 6: Final answer
    x = 6,721.72

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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.