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Finding the Fourth Proportional to 25,189.16, 37,783.76 and 7,659

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Solution

The fourth proportional to 25,189.16, 37,783.76 and 7,659 is: 11,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189.16 : 37,783.76 = 7,659 : x
  2. Step 2: Convert to fraction form
    25,189.16/37,783.76 = 7,659/x
  3. Step 3: Cross multiply
    25,189.16x = 37,783.76 × 7,659
  4. Step 4: Simplify right side
    25,189.16x = 289,385,779.55
  5. Step 5: Solve for x
    x = 289,385,779.55/25,189.16
  6. Step 6: Final answer
    x = 11,488.51

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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.