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Finding the Fourth Proportional to 14,417.16, 19,893.90 and 8,447.46

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Solution

The fourth proportional to 14,417.16, 19,893.90 and 8,447.46 is: 11,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.16 : 19,893.90 = 8,447.46 : x
  2. Step 2: Convert to fraction form
    14,417.16/19,893.90 = 8,447.46/x
  3. Step 3: Cross multiply
    14,417.16x = 19,893.90 × 8,447.46
  4. Step 4: Simplify right side
    14,417.16x = 168,052,924.49
  5. Step 5: Solve for x
    x = 168,052,924.49/14,417.16
  6. Step 6: Final answer
    x = 11,656.45

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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.