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Finding the Fourth Proportional to 4,756.86, 6,546.02 and 4,387.50

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Solution

The fourth proportional to 4,756.86, 6,546.02 and 4,387.50 is: 6,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.86 : 6,546.02 = 4,387.50 : x
  2. Step 2: Convert to fraction form
    4,756.86/6,546.02 = 4,387.50/x
  3. Step 3: Cross multiply
    4,756.86x = 6,546.02 × 4,387.50
  4. Step 4: Simplify right side
    4,756.86x = 28,720,640.81
  5. Step 5: Solve for x
    x = 28,720,640.81/4,756.86
  6. Step 6: Final answer
    x = 6,037.73

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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.