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Finding the Fourth Proportional to 9,507.78, 14,239.80 and 7,852.95

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Solution

The fourth proportional to 9,507.78, 14,239.80 and 7,852.95 is: 11,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.78 : 14,239.80 = 7,852.95 : x
  2. Step 2: Convert to fraction form
    9,507.78/14,239.80 = 7,852.95/x
  3. Step 3: Cross multiply
    9,507.78x = 14,239.80 × 7,852.95
  4. Step 4: Simplify right side
    9,507.78x = 111,824,437.41
  5. Step 5: Solve for x
    x = 111,824,437.41/9,507.78
  6. Step 6: Final answer
    x = 11,761.36

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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.