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Finding the Fourth Proportional to 6,558.42, 9,045.97 and 6,341.48

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Solution

The fourth proportional to 6,558.42, 9,045.97 and 6,341.48 is: 8,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.42 : 9,045.97 = 6,341.48 : x
  2. Step 2: Convert to fraction form
    6,558.42/9,045.97 = 6,341.48/x
  3. Step 3: Cross multiply
    6,558.42x = 9,045.97 × 6,341.48
  4. Step 4: Simplify right side
    6,558.42x = 57,364,837.84
  5. Step 5: Solve for x
    x = 57,364,837.84/6,558.42
  6. Step 6: Final answer
    x = 8,746.75

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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.