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Finding the Fourth Proportional to 25,229.94, 37,848.58 and 7,697.50

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Solution

The fourth proportional to 25,229.94, 37,848.58 and 7,697.50 is: 11,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,229.94 : 37,848.58 = 7,697.50 : x
  2. Step 2: Convert to fraction form
    25,229.94/37,848.58 = 7,697.50/x
  3. Step 3: Cross multiply
    25,229.94x = 37,848.58 × 7,697.50
  4. Step 4: Simplify right side
    25,229.94x = 291,339,444.55
  5. Step 5: Solve for x
    x = 291,339,444.55/25,229.94
  6. Step 6: Final answer
    x = 11,547.37

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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.