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Finding the Fourth Proportional to 14,263.06, 19,682 and 8,294.30

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Solution

The fourth proportional to 14,263.06, 19,682 and 8,294.30 is: 11,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.06 : 19,682 = 8,294.30 : x
  2. Step 2: Convert to fraction form
    14,263.06/19,682 = 8,294.30/x
  3. Step 3: Cross multiply
    14,263.06x = 19,682 × 8,294.30
  4. Step 4: Simplify right side
    14,263.06x = 163,248,412.60
  5. Step 5: Solve for x
    x = 163,248,412.60/14,263.06
  6. Step 6: Final answer
    x = 11,445.54

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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.