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Finding the Fourth Proportional to 6,510.40, 9,765.60 and 1,830.40

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Solution

The fourth proportional to 6,510.40, 9,765.60 and 1,830.40 is: 2,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.40 : 9,765.60 = 1,830.40 : x
  2. Step 2: Convert to fraction form
    6,510.40/9,765.60 = 1,830.40/x
  3. Step 3: Cross multiply
    6,510.40x = 9,765.60 × 1,830.40
  4. Step 4: Simplify right side
    6,510.40x = 17,874,954.24
  5. Step 5: Solve for x
    x = 17,874,954.24/6,510.40
  6. Step 6: Final answer
    x = 2,745.60

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1.5x scale

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.