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Finding the Fourth Proportional to 9,810.88, 13,532.16 and 6,661.60

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Solution

The fourth proportional to 9,810.88, 13,532.16 and 6,661.60 is: 9,188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.88 : 13,532.16 = 6,661.60 : x
  2. Step 2: Convert to fraction form
    9,810.88/13,532.16 = 6,661.60/x
  3. Step 3: Cross multiply
    9,810.88x = 13,532.16 × 6,661.60
  4. Step 4: Simplify right side
    9,810.88x = 90,145,837.06
  5. Step 5: Solve for x
    x = 90,145,837.06/9,810.88
  6. Step 6: Final answer
    x = 9,188.35

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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.