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Finding the Fourth Proportional to 25,569.41, 38,356.34 and 7,804.07

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Solution

The fourth proportional to 25,569.41, 38,356.34 and 7,804.07 is: 11,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,569.41 : 38,356.34 = 7,804.07 : x
  2. Step 2: Convert to fraction form
    25,569.41/38,356.34 = 7,804.07/x
  3. Step 3: Cross multiply
    25,569.41x = 38,356.34 × 7,804.07
  4. Step 4: Simplify right side
    25,569.41x = 299,335,331.50
  5. Step 5: Solve for x
    x = 299,335,331.50/25,569.41
  6. Step 6: Final answer
    x = 11,706.77

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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.