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Finding the Fourth Proportional to 11,807.76, 17,625.25 and 10,406.54

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Solution

The fourth proportional to 11,807.76, 17,625.25 and 10,406.54 is: 15,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.76 : 17,625.25 = 10,406.54 : x
  2. Step 2: Convert to fraction form
    11,807.76/17,625.25 = 10,406.54/x
  3. Step 3: Cross multiply
    11,807.76x = 17,625.25 × 10,406.54
  4. Step 4: Simplify right side
    11,807.76x = 183,417,955.47
  5. Step 5: Solve for x
    x = 183,417,955.47/11,807.76
  6. Step 6: Final answer
    x = 15,533.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.