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Finding the Fourth Proportional to 4,904.86, 7,343.25 and 4,594.48

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Solution

The fourth proportional to 4,904.86, 7,343.25 and 4,594.48 is: 6,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.86 : 7,343.25 = 4,594.48 : x
  2. Step 2: Convert to fraction form
    4,904.86/7,343.25 = 4,594.48/x
  3. Step 3: Cross multiply
    4,904.86x = 7,343.25 × 4,594.48
  4. Step 4: Simplify right side
    4,904.86x = 33,738,415.26
  5. Step 5: Solve for x
    x = 33,738,415.26/4,904.86
  6. Step 6: Final answer
    x = 6,878.57

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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.