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Finding the Fourth Proportional to 14,210.24, 19,608.48 and 7,922.40

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Solution

The fourth proportional to 14,210.24, 19,608.48 and 7,922.40 is: 10,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210.24 : 19,608.48 = 7,922.40 : x
  2. Step 2: Convert to fraction form
    14,210.24/19,608.48 = 7,922.40/x
  3. Step 3: Cross multiply
    14,210.24x = 19,608.48 × 7,922.40
  4. Step 4: Simplify right side
    14,210.24x = 155,346,221.95
  5. Step 5: Solve for x
    x = 155,346,221.95/14,210.24
  6. Step 6: Final answer
    x = 10,931.99

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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.