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Finding the Fourth Proportional to 38,533.50, 57,800.25 and 9,349.50

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Solution

The fourth proportional to 38,533.50, 57,800.25 and 9,349.50 is: 14,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,533.50 : 57,800.25 = 9,349.50 : x
  2. Step 2: Convert to fraction form
    38,533.50/57,800.25 = 9,349.50/x
  3. Step 3: Cross multiply
    38,533.50x = 57,800.25 × 9,349.50
  4. Step 4: Simplify right side
    38,533.50x = 540,403,437.38
  5. Step 5: Solve for x
    x = 540,403,437.38/38,533.50
  6. Step 6: Final answer
    x = 14,024.25

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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.