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Finding the Fourth Proportional to 13,774.88, 19,009.16 and 7,487.12

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Solution

The fourth proportional to 13,774.88, 19,009.16 and 7,487.12 is: 10,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.88 : 19,009.16 = 7,487.12 : x
  2. Step 2: Convert to fraction form
    13,774.88/19,009.16 = 7,487.12/x
  3. Step 3: Cross multiply
    13,774.88x = 19,009.16 × 7,487.12
  4. Step 4: Simplify right side
    13,774.88x = 142,323,862.02
  5. Step 5: Solve for x
    x = 142,323,862.02/13,774.88
  6. Step 6: Final answer
    x = 10,332.13

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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.