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Finding the Fourth Proportional to 15,985.86, 22,058.93 and 9,271.94

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Solution

The fourth proportional to 15,985.86, 22,058.93 and 9,271.94 is: 12,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,985.86 : 22,058.93 = 9,271.94 : x
  2. Step 2: Convert to fraction form
    15,985.86/22,058.93 = 9,271.94/x
  3. Step 3: Cross multiply
    15,985.86x = 22,058.93 × 9,271.94
  4. Step 4: Simplify right side
    15,985.86x = 204,528,918.77
  5. Step 5: Solve for x
    x = 204,528,918.77/15,985.86
  6. Step 6: Final answer
    x = 12,794.36

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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.