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Finding the Fourth Proportional to 4,975.86, 7,462.98 and 1,688.88

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Solution

The fourth proportional to 4,975.86, 7,462.98 and 1,688.88 is: 2,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.86 : 7,462.98 = 1,688.88 : x
  2. Step 2: Convert to fraction form
    4,975.86/7,462.98 = 1,688.88/x
  3. Step 3: Cross multiply
    4,975.86x = 7,462.98 × 1,688.88
  4. Step 4: Simplify right side
    4,975.86x = 12,604,077.66
  5. Step 5: Solve for x
    x = 12,604,077.66/4,975.86
  6. Step 6: Final answer
    x = 2,533.05

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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.