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Finding the Fourth Proportional to 14,745, 20,347.69 and 8,030.48

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Solution

The fourth proportional to 14,745, 20,347.69 and 8,030.48 is: 11,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745 : 20,347.69 = 8,030.48 : x
  2. Step 2: Convert to fraction form
    14,745/20,347.69 = 8,030.48/x
  3. Step 3: Cross multiply
    14,745x = 20,347.69 × 8,030.48
  4. Step 4: Simplify right side
    14,745x = 163,401,717.59
  5. Step 5: Solve for x
    x = 163,401,717.59/14,745
  6. Step 6: Final answer
    x = 11,081.84

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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.