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Finding the Fourth Proportional to 6,465.60, 9,698.40 and 4,910.40

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Solution

The fourth proportional to 6,465.60, 9,698.40 and 4,910.40 is: 7,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.60 : 9,698.40 = 4,910.40 : x
  2. Step 2: Convert to fraction form
    6,465.60/9,698.40 = 4,910.40/x
  3. Step 3: Cross multiply
    6,465.60x = 9,698.40 × 4,910.40
  4. Step 4: Simplify right side
    6,465.60x = 47,623,023.36
  5. Step 5: Solve for x
    x = 47,623,023.36/6,465.60
  6. Step 6: Final answer
    x = 7,365.60

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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.