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Finding the Fourth Proportional to 13,797.55, 19,040.07 and 7,509.93

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Solution

The fourth proportional to 13,797.55, 19,040.07 and 7,509.93 is: 10,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.55 : 19,040.07 = 7,509.93 : x
  2. Step 2: Convert to fraction form
    13,797.55/19,040.07 = 7,509.93/x
  3. Step 3: Cross multiply
    13,797.55x = 19,040.07 × 7,509.93
  4. Step 4: Simplify right side
    13,797.55x = 142,989,592.90
  5. Step 5: Solve for x
    x = 142,989,592.90/13,797.55
  6. Step 6: Final answer
    x = 10,363.40

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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.