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Finding the Fourth Proportional to 37,464.50, 56,196.75 and 9,762.50

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Solution

The fourth proportional to 37,464.50, 56,196.75 and 9,762.50 is: 14,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464.50 : 56,196.75 = 9,762.50 : x
  2. Step 2: Convert to fraction form
    37,464.50/56,196.75 = 9,762.50/x
  3. Step 3: Cross multiply
    37,464.50x = 56,196.75 × 9,762.50
  4. Step 4: Simplify right side
    37,464.50x = 548,620,771.88
  5. Step 5: Solve for x
    x = 548,620,771.88/37,464.50
  6. Step 6: Final answer
    x = 14,643.75

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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.