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Finding the Fourth Proportional to 6,309.64, 9,465.93 and 3,538.23

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Solution

The fourth proportional to 6,309.64, 9,465.93 and 3,538.23 is: 5,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.64 : 9,465.93 = 3,538.23 : x
  2. Step 2: Convert to fraction form
    6,309.64/9,465.93 = 3,538.23/x
  3. Step 3: Cross multiply
    6,309.64x = 9,465.93 × 3,538.23
  4. Step 4: Simplify right side
    6,309.64x = 33,492,590.17
  5. Step 5: Solve for x
    x = 33,492,590.17/6,309.64
  6. Step 6: Final answer
    x = 5,308.16

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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.