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Finding the Fourth Proportional to 15,700.50, 23,550.75 and 4,756.50

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Solution

The fourth proportional to 15,700.50, 23,550.75 and 4,756.50 is: 7,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.50 : 23,550.75 = 4,756.50 : x
  2. Step 2: Convert to fraction form
    15,700.50/23,550.75 = 4,756.50/x
  3. Step 3: Cross multiply
    15,700.50x = 23,550.75 × 4,756.50
  4. Step 4: Simplify right side
    15,700.50x = 112,019,142.38
  5. Step 5: Solve for x
    x = 112,019,142.38/15,700.50
  6. Step 6: Final answer
    x = 7,134.75

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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.