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Finding the Fourth Proportional to 25,231, 37,845.78 and 7,698.28

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Solution

The fourth proportional to 25,231, 37,845.78 and 7,698.28 is: 11,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,231 : 37,845.78 = 7,698.28 : x
  2. Step 2: Convert to fraction form
    25,231/37,845.78 = 7,698.28/x
  3. Step 3: Cross multiply
    25,231x = 37,845.78 × 7,698.28
  4. Step 4: Simplify right side
    25,231x = 291,347,411.26
  5. Step 5: Solve for x
    x = 291,347,411.26/25,231
  6. Step 6: Final answer
    x = 11,547.20

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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.