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Finding the Fourth Proportional to 6,483.16, 8,946.86 and 3,688.64

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Solution

The fourth proportional to 6,483.16, 8,946.86 and 3,688.64 is: 5,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.16 : 8,946.86 = 3,688.64 : x
  2. Step 2: Convert to fraction form
    6,483.16/8,946.86 = 3,688.64/x
  3. Step 3: Cross multiply
    6,483.16x = 8,946.86 × 3,688.64
  4. Step 4: Simplify right side
    6,483.16x = 33,001,745.67
  5. Step 5: Solve for x
    x = 33,001,745.67/6,483.16
  6. Step 6: Final answer
    x = 5,090.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.