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Finding the Fourth Proportional to 6,518.04, 9,774.62 and 2,820

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Solution

The fourth proportional to 6,518.04, 9,774.62 and 2,820 is: 4,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.04 : 9,774.62 = 2,820 : x
  2. Step 2: Convert to fraction form
    6,518.04/9,774.62 = 2,820/x
  3. Step 3: Cross multiply
    6,518.04x = 9,774.62 × 2,820
  4. Step 4: Simplify right side
    6,518.04x = 27,564,428.40
  5. Step 5: Solve for x
    x = 27,564,428.40/6,518.04
  6. Step 6: Final answer
    x = 4,228.94

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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.