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Finding the Fourth Proportional to 25,097.84, 37,646.92 and 7,567.60

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Solution

The fourth proportional to 25,097.84, 37,646.92 and 7,567.60 is: 11,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.84 : 37,646.92 = 7,567.60 : x
  2. Step 2: Convert to fraction form
    25,097.84/37,646.92 = 7,567.60/x
  3. Step 3: Cross multiply
    25,097.84x = 37,646.92 × 7,567.60
  4. Step 4: Simplify right side
    25,097.84x = 284,896,831.79
  5. Step 5: Solve for x
    x = 284,896,831.79/25,097.84
  6. Step 6: Final answer
    x = 11,351.45

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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.