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Finding the Fourth Proportional to 9,761.06, 14,607.54 and 7,985.54

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Solution

The fourth proportional to 9,761.06, 14,607.54 and 7,985.54 is: 11,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.06 : 14,607.54 = 7,985.54 : x
  2. Step 2: Convert to fraction form
    9,761.06/14,607.54 = 7,985.54/x
  3. Step 3: Cross multiply
    9,761.06x = 14,607.54 × 7,985.54
  4. Step 4: Simplify right side
    9,761.06x = 116,649,094.97
  5. Step 5: Solve for x
    x = 116,649,094.97/9,761.06
  6. Step 6: Final answer
    x = 11,950.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.