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Finding the Fourth Proportional to 4,713.86, 7,065.88 and 1,592.80

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Solution

The fourth proportional to 4,713.86, 7,065.88 and 1,592.80 is: 2,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.86 : 7,065.88 = 1,592.80 : x
  2. Step 2: Convert to fraction form
    4,713.86/7,065.88 = 1,592.80/x
  3. Step 3: Cross multiply
    4,713.86x = 7,065.88 × 1,592.80
  4. Step 4: Simplify right side
    4,713.86x = 11,254,533.66
  5. Step 5: Solve for x
    x = 11,254,533.66/4,713.86
  6. Step 6: Final answer
    x = 2,387.54

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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.