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Finding the Fourth Proportional to 9,617.16, 13,264.38 and 6,973.32

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Solution

The fourth proportional to 9,617.16, 13,264.38 and 6,973.32 is: 9,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.16 : 13,264.38 = 6,973.32 : x
  2. Step 2: Convert to fraction form
    9,617.16/13,264.38 = 6,973.32/x
  3. Step 3: Cross multiply
    9,617.16x = 13,264.38 × 6,973.32
  4. Step 4: Simplify right side
    9,617.16x = 92,496,766.34
  5. Step 5: Solve for x
    x = 92,496,766.34/9,617.16
  6. Step 6: Final answer
    x = 9,617.89

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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.