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Finding the Fourth Proportional to 9,705.51, 13,398.93 and 6,523.43

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Solution

The fourth proportional to 9,705.51, 13,398.93 and 6,523.43 is: 9,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.51 : 13,398.93 = 6,523.43 : x
  2. Step 2: Convert to fraction form
    9,705.51/13,398.93 = 6,523.43/x
  3. Step 3: Cross multiply
    9,705.51x = 13,398.93 × 6,523.43
  4. Step 4: Simplify right side
    9,705.51x = 87,406,914.94
  5. Step 5: Solve for x
    x = 87,406,914.94/9,705.51
  6. Step 6: Final answer
    x = 9,005.91

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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.