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Finding the Fourth Proportional to 6,699.24, 10,052.64 and 6,646.32

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Solution

The fourth proportional to 6,699.24, 10,052.64 and 6,646.32 is: 9,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.24 : 10,052.64 = 6,646.32 : x
  2. Step 2: Convert to fraction form
    6,699.24/10,052.64 = 6,646.32/x
  3. Step 3: Cross multiply
    6,699.24x = 10,052.64 × 6,646.32
  4. Step 4: Simplify right side
    6,699.24x = 66,813,062.28
  5. Step 5: Solve for x
    x = 66,813,062.28/6,699.24
  6. Step 6: Final answer
    x = 9,973.23

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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.