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Finding the Fourth Proportional to 14,101.76, 21,152.94 and 4,742.07

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Solution

The fourth proportional to 14,101.76, 21,152.94 and 4,742.07 is: 7,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.76 : 21,152.94 = 4,742.07 : x
  2. Step 2: Convert to fraction form
    14,101.76/21,152.94 = 4,742.07/x
  3. Step 3: Cross multiply
    14,101.76x = 21,152.94 × 4,742.07
  4. Step 4: Simplify right side
    14,101.76x = 100,308,698.48
  5. Step 5: Solve for x
    x = 100,308,698.48/14,101.76
  6. Step 6: Final answer
    x = 7,113.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.