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Finding the Fourth Proportional to 14,347.24, 19,798.29 and 7,973.44

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Solution

The fourth proportional to 14,347.24, 19,798.29 and 7,973.44 is: 11,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347.24 : 19,798.29 = 7,973.44 : x
  2. Step 2: Convert to fraction form
    14,347.24/19,798.29 = 7,973.44/x
  3. Step 3: Cross multiply
    14,347.24x = 19,798.29 × 7,973.44
  4. Step 4: Simplify right side
    14,347.24x = 157,860,477.42
  5. Step 5: Solve for x
    x = 157,860,477.42/14,347.24
  6. Step 6: Final answer
    x = 11,002.85

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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.