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Finding the Fourth Proportional to 12,846.51, 19,270.98 and 5,053.50

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Solution

The fourth proportional to 12,846.51, 19,270.98 and 5,053.50 is: 7,580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.51 : 19,270.98 = 5,053.50 : x
  2. Step 2: Convert to fraction form
    12,846.51/19,270.98 = 5,053.50/x
  3. Step 3: Cross multiply
    12,846.51x = 19,270.98 × 5,053.50
  4. Step 4: Simplify right side
    12,846.51x = 97,385,897.43
  5. Step 5: Solve for x
    x = 97,385,897.43/12,846.51
  6. Step 6: Final answer
    x = 7,580.73

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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.