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Finding the Fourth Proportional to 14,353.63, 19,809.86 and 8,066

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Solution

The fourth proportional to 14,353.63, 19,809.86 and 8,066 is: 11,132.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353.63 : 19,809.86 = 8,066 : x
  2. Step 2: Convert to fraction form
    14,353.63/19,809.86 = 8,066/x
  3. Step 3: Cross multiply
    14,353.63x = 19,809.86 × 8,066
  4. Step 4: Simplify right side
    14,353.63x = 159,786,330.76
  5. Step 5: Solve for x
    x = 159,786,330.76/14,353.63
  6. Step 6: Final answer
    x = 11,132.12

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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.