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Finding the Fourth Proportional to 6,501.60, 9,746.16 and 3,213.12

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Solution

The fourth proportional to 6,501.60, 9,746.16 and 3,213.12 is: 4,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.60 : 9,746.16 = 3,213.12 : x
  2. Step 2: Convert to fraction form
    6,501.60/9,746.16 = 3,213.12/x
  3. Step 3: Cross multiply
    6,501.60x = 9,746.16 × 3,213.12
  4. Step 4: Simplify right side
    6,501.60x = 31,315,581.62
  5. Step 5: Solve for x
    x = 31,315,581.62/6,501.60
  6. Step 6: Final answer
    x = 4,816.60

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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.