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Finding the Fourth Proportional to 13,797.84, 19,041.52 and 7,510.48

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Solution

The fourth proportional to 13,797.84, 19,041.52 and 7,510.48 is: 10,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.84 : 19,041.52 = 7,510.48 : x
  2. Step 2: Convert to fraction form
    13,797.84/19,041.52 = 7,510.48/x
  3. Step 3: Cross multiply
    13,797.84x = 19,041.52 × 7,510.48
  4. Step 4: Simplify right side
    13,797.84x = 143,010,955.13
  5. Step 5: Solve for x
    x = 143,010,955.13/13,797.84
  6. Step 6: Final answer
    x = 10,364.73

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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.