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Finding the Fourth Proportional to 8,603.29, 11,870.98 and 5,774.77

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Solution

The fourth proportional to 8,603.29, 11,870.98 and 5,774.77 is: 7,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603.29 : 11,870.98 = 5,774.77 : x
  2. Step 2: Convert to fraction form
    8,603.29/11,870.98 = 5,774.77/x
  3. Step 3: Cross multiply
    8,603.29x = 11,870.98 × 5,774.77
  4. Step 4: Simplify right side
    8,603.29x = 68,552,179.17
  5. Step 5: Solve for x
    x = 68,552,179.17/8,603.29
  6. Step 6: Final answer
    x = 7,968.14

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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.