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Finding the Fourth Proportional to 14,425.85, 19,907.93 and 8,461.82

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Solution

The fourth proportional to 14,425.85, 19,907.93 and 8,461.82 is: 11,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.85 : 19,907.93 = 8,461.82 : x
  2. Step 2: Convert to fraction form
    14,425.85/19,907.93 = 8,461.82/x
  3. Step 3: Cross multiply
    14,425.85x = 19,907.93 × 8,461.82
  4. Step 4: Simplify right side
    14,425.85x = 168,457,320.23
  5. Step 5: Solve for x
    x = 168,457,320.23/14,425.85
  6. Step 6: Final answer
    x = 11,677.46

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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.