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Finding the Fourth Proportional to 14,473.60, 19,973.46 and 8,186.20

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Solution

The fourth proportional to 14,473.60, 19,973.46 and 8,186.20 is: 11,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.60 : 19,973.46 = 8,186.20 : x
  2. Step 2: Convert to fraction form
    14,473.60/19,973.46 = 8,186.20/x
  3. Step 3: Cross multiply
    14,473.60x = 19,973.46 × 8,186.20
  4. Step 4: Simplify right side
    14,473.60x = 163,506,738.25
  5. Step 5: Solve for x
    x = 163,506,738.25/14,473.60
  6. Step 6: Final answer
    x = 11,296.89

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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.