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Finding the Fourth Proportional to 6,483.40, 9,708.60 and 4,285.42

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Solution

The fourth proportional to 6,483.40, 9,708.60 and 4,285.42 is: 6,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.40 : 9,708.60 = 4,285.42 : x
  2. Step 2: Convert to fraction form
    6,483.40/9,708.60 = 4,285.42/x
  3. Step 3: Cross multiply
    6,483.40x = 9,708.60 × 4,285.42
  4. Step 4: Simplify right side
    6,483.40x = 41,605,428.61
  5. Step 5: Solve for x
    x = 41,605,428.61/6,483.40
  6. Step 6: Final answer
    x = 6,417.22

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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.