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Finding the Fourth Proportional to 6,510.35, 9,765.90 and 1,830.74

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Solution

The fourth proportional to 6,510.35, 9,765.90 and 1,830.74 is: 2,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.35 : 9,765.90 = 1,830.74 : x
  2. Step 2: Convert to fraction form
    6,510.35/9,765.90 = 1,830.74/x
  3. Step 3: Cross multiply
    6,510.35x = 9,765.90 × 1,830.74
  4. Step 4: Simplify right side
    6,510.35x = 17,878,774.94
  5. Step 5: Solve for x
    x = 17,878,774.94/6,510.35
  6. Step 6: Final answer
    x = 2,746.21

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