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Finding the Fourth Proportional to 14,275.93, 19,700.16 and 7,902.14

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Solution

The fourth proportional to 14,275.93, 19,700.16 and 7,902.14 is: 10,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,275.93 : 19,700.16 = 7,902.14 : x
  2. Step 2: Convert to fraction form
    14,275.93/19,700.16 = 7,902.14/x
  3. Step 3: Cross multiply
    14,275.93x = 19,700.16 × 7,902.14
  4. Step 4: Simplify right side
    14,275.93x = 155,673,449.47
  5. Step 5: Solve for x
    x = 155,673,449.47/14,275.93
  6. Step 6: Final answer
    x = 10,904.61

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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.