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Finding the Fourth Proportional to 11,503.84, 15,875.22 and 6,535.84

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Solution

The fourth proportional to 11,503.84, 15,875.22 and 6,535.84 is: 9,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.84 : 15,875.22 = 6,535.84 : x
  2. Step 2: Convert to fraction form
    11,503.84/15,875.22 = 6,535.84/x
  3. Step 3: Cross multiply
    11,503.84x = 15,875.22 × 6,535.84
  4. Step 4: Simplify right side
    11,503.84x = 103,757,897.88
  5. Step 5: Solve for x
    x = 103,757,897.88/11,503.84
  6. Step 6: Final answer
    x = 9,019.41

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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.