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Finding the Fourth Proportional to 14,460.63, 19,948.77 and 8,410.83

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Solution

The fourth proportional to 14,460.63, 19,948.77 and 8,410.83 is: 11,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.63 : 19,948.77 = 8,410.83 : x
  2. Step 2: Convert to fraction form
    14,460.63/19,948.77 = 8,410.83/x
  3. Step 3: Cross multiply
    14,460.63x = 19,948.77 × 8,410.83
  4. Step 4: Simplify right side
    14,460.63x = 167,785,713.18
  5. Step 5: Solve for x
    x = 167,785,713.18/14,460.63
  6. Step 6: Final answer
    x = 11,602.93

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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.