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Finding the Fourth Proportional to 6,971.51, 9,607.70 and 4,733.48

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Solution

The fourth proportional to 6,971.51, 9,607.70 and 4,733.48 is: 6,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.51 : 9,607.70 = 4,733.48 : x
  2. Step 2: Convert to fraction form
    6,971.51/9,607.70 = 4,733.48/x
  3. Step 3: Cross multiply
    6,971.51x = 9,607.70 × 4,733.48
  4. Step 4: Simplify right side
    6,971.51x = 45,477,855.80
  5. Step 5: Solve for x
    x = 45,477,855.80/6,971.51
  6. Step 6: Final answer
    x = 6,523.39

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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.