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Finding the Fourth Proportional to 9,810.34, 13,525.02 and 6,661.06

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Solution

The fourth proportional to 9,810.34, 13,525.02 and 6,661.06 is: 9,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.34 : 13,525.02 = 6,661.06 : x
  2. Step 2: Convert to fraction form
    9,810.34/13,525.02 = 6,661.06/x
  3. Step 3: Cross multiply
    9,810.34x = 13,525.02 × 6,661.06
  4. Step 4: Simplify right side
    9,810.34x = 90,090,969.72
  5. Step 5: Solve for x
    x = 90,090,969.72/9,810.34
  6. Step 6: Final answer
    x = 9,183.27

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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.