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Finding the Fourth Proportional to 9,770.49, 13,483.26 and 5,736.51

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Solution

The fourth proportional to 9,770.49, 13,483.26 and 5,736.51 is: 7,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.49 : 13,483.26 = 5,736.51 : x
  2. Step 2: Convert to fraction form
    9,770.49/13,483.26 = 5,736.51/x
  3. Step 3: Cross multiply
    9,770.49x = 13,483.26 × 5,736.51
  4. Step 4: Simplify right side
    9,770.49x = 77,346,855.82
  5. Step 5: Solve for x
    x = 77,346,855.82/9,770.49
  6. Step 6: Final answer
    x = 7,916.37

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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.