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Finding the Fourth Proportional to 10,571.61, 14,603.09 and 9,824.39

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Solution

The fourth proportional to 10,571.61, 14,603.09 and 9,824.39 is: 13,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.61 : 14,603.09 = 9,824.39 : x
  2. Step 2: Convert to fraction form
    10,571.61/14,603.09 = 9,824.39/x
  3. Step 3: Cross multiply
    10,571.61x = 14,603.09 × 9,824.39
  4. Step 4: Simplify right side
    10,571.61x = 143,466,383.99
  5. Step 5: Solve for x
    x = 143,466,383.99/10,571.61
  6. Step 6: Final answer
    x = 13,570.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.