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Finding the Fourth Proportional to 25,307.84, 37,965.38 and 7,779.14

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Solution

The fourth proportional to 25,307.84, 37,965.38 and 7,779.14 is: 11,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,307.84 : 37,965.38 = 7,779.14 : x
  2. Step 2: Convert to fraction form
    25,307.84/37,965.38 = 7,779.14/x
  3. Step 3: Cross multiply
    25,307.84x = 37,965.38 × 7,779.14
  4. Step 4: Simplify right side
    25,307.84x = 295,337,835.79
  5. Step 5: Solve for x
    x = 295,337,835.79/25,307.84
  6. Step 6: Final answer
    x = 11,669.82

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Double scale
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Similar ratio
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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.