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Finding the Fourth Proportional to 11,504.84, 15,877.03 and 7,472.66

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Solution

The fourth proportional to 11,504.84, 15,877.03 and 7,472.66 is: 10,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.84 : 15,877.03 = 7,472.66 : x
  2. Step 2: Convert to fraction form
    11,504.84/15,877.03 = 7,472.66/x
  3. Step 3: Cross multiply
    11,504.84x = 15,877.03 × 7,472.66
  4. Step 4: Simplify right side
    11,504.84x = 118,643,647.00
  5. Step 5: Solve for x
    x = 118,643,647.00/11,504.84
  6. Step 6: Final answer
    x = 10,312.50

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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.