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Finding the Fourth Proportional to 9,666.96, 13,335.66 and 6,308.22

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Solution

The fourth proportional to 9,666.96, 13,335.66 and 6,308.22 is: 8,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.96 : 13,335.66 = 6,308.22 : x
  2. Step 2: Convert to fraction form
    9,666.96/13,335.66 = 6,308.22/x
  3. Step 3: Cross multiply
    9,666.96x = 13,335.66 × 6,308.22
  4. Step 4: Simplify right side
    9,666.96x = 84,124,277.13
  5. Step 5: Solve for x
    x = 84,124,277.13/9,666.96
  6. Step 6: Final answer
    x = 8,702.25

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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.