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Finding the Fourth Proportional to 6,536.64, 9,804.95 and 1,606.30

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Solution

The fourth proportional to 6,536.64, 9,804.95 and 1,606.30 is: 2,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.64 : 9,804.95 = 1,606.30 : x
  2. Step 2: Convert to fraction form
    6,536.64/9,804.95 = 1,606.30/x
  3. Step 3: Cross multiply
    6,536.64x = 9,804.95 × 1,606.30
  4. Step 4: Simplify right side
    6,536.64x = 15,749,691.19
  5. Step 5: Solve for x
    x = 15,749,691.19/6,536.64
  6. Step 6: Final answer
    x = 2,409.45

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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.