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Finding the Fourth Proportional to 8,526.24, 12,798 and 6,063.84

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Solution

The fourth proportional to 8,526.24, 12,798 and 6,063.84 is: 9,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.24 : 12,798 = 6,063.84 : x
  2. Step 2: Convert to fraction form
    8,526.24/12,798 = 6,063.84/x
  3. Step 3: Cross multiply
    8,526.24x = 12,798 × 6,063.84
  4. Step 4: Simplify right side
    8,526.24x = 77,605,024.32
  5. Step 5: Solve for x
    x = 77,605,024.32/8,526.24
  6. Step 6: Final answer
    x = 9,101.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.