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Finding the Fourth Proportional to 9,699.51, 13,385.19 and 5,507.49

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Solution

The fourth proportional to 9,699.51, 13,385.19 and 5,507.49 is: 7,600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.51 : 13,385.19 = 5,507.49 : x
  2. Step 2: Convert to fraction form
    9,699.51/13,385.19 = 5,507.49/x
  3. Step 3: Cross multiply
    9,699.51x = 13,385.19 × 5,507.49
  4. Step 4: Simplify right side
    9,699.51x = 73,718,800.07
  5. Step 5: Solve for x
    x = 73,718,800.07/9,699.51
  6. Step 6: Final answer
    x = 7,600.26

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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.