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Finding the Fourth Proportional to 14,477.76, 19,988.10 and 9,947.70

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Solution

The fourth proportional to 14,477.76, 19,988.10 and 9,947.70 is: 13,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.76 : 19,988.10 = 9,947.70 : x
  2. Step 2: Convert to fraction form
    14,477.76/19,988.10 = 9,947.70/x
  3. Step 3: Cross multiply
    14,477.76x = 19,988.10 × 9,947.70
  4. Step 4: Simplify right side
    14,477.76x = 198,835,622.37
  5. Step 5: Solve for x
    x = 198,835,622.37/14,477.76
  6. Step 6: Final answer
    x = 13,733.87

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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.