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Finding the Fourth Proportional to 9,982.06, 13,775.13 and 5,506.00

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Solution

The fourth proportional to 9,982.06, 13,775.13 and 5,506.00 is: 7,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.06 : 13,775.13 = 5,506.00 : x
  2. Step 2: Convert to fraction form
    9,982.06/13,775.13 = 5,506.00/x
  3. Step 3: Cross multiply
    9,982.06x = 13,775.13 × 5,506.00
  4. Step 4: Simplify right side
    9,982.06x = 75,845,831.34
  5. Step 5: Solve for x
    x = 75,845,831.34/9,982.06
  6. Step 6: Final answer
    x = 7,598.22

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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.