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Finding the Fourth Proportional to 10,597.41, 14,625.09 and 5,881.77

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Solution

The fourth proportional to 10,597.41, 14,625.09 and 5,881.77 is: 8,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.41 : 14,625.09 = 5,881.77 : x
  2. Step 2: Convert to fraction form
    10,597.41/14,625.09 = 5,881.77/x
  3. Step 3: Cross multiply
    10,597.41x = 14,625.09 × 5,881.77
  4. Step 4: Simplify right side
    10,597.41x = 86,021,415.61
  5. Step 5: Solve for x
    x = 86,021,415.61/10,597.41
  6. Step 6: Final answer
    x = 8,117.21

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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.