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Finding the Fourth Proportional to 13,903.86, 19,189.14 and 7,934.16

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Solution

The fourth proportional to 13,903.86, 19,189.14 and 7,934.16 is: 10,950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.86 : 19,189.14 = 7,934.16 : x
  2. Step 2: Convert to fraction form
    13,903.86/19,189.14 = 7,934.16/x
  3. Step 3: Cross multiply
    13,903.86x = 19,189.14 × 7,934.16
  4. Step 4: Simplify right side
    13,903.86x = 152,249,707.02
  5. Step 5: Solve for x
    x = 152,249,707.02/13,903.86
  6. Step 6: Final answer
    x = 10,950.18

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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.