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Finding the Fourth Proportional to 25,050, 37,577.49 and 9,259.17

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Solution

The fourth proportional to 25,050, 37,577.49 and 9,259.17 is: 13,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,050 : 37,577.49 = 9,259.17 : x
  2. Step 2: Convert to fraction form
    25,050/37,577.49 = 9,259.17/x
  3. Step 3: Cross multiply
    25,050x = 37,577.49 × 9,259.17
  4. Step 4: Simplify right side
    25,050x = 347,936,368.08
  5. Step 5: Solve for x
    x = 347,936,368.08/25,050
  6. Step 6: Final answer
    x = 13,889.68

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Double scale
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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.