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Finding the Fourth Proportional to 13,813.54, 19,060.54 and 7,762.58

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Solution

The fourth proportional to 13,813.54, 19,060.54 and 7,762.58 is: 10,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.54 : 19,060.54 = 7,762.58 : x
  2. Step 2: Convert to fraction form
    13,813.54/19,060.54 = 7,762.58/x
  3. Step 3: Cross multiply
    13,813.54x = 19,060.54 × 7,762.58
  4. Step 4: Simplify right side
    13,813.54x = 147,958,966.59
  5. Step 5: Solve for x
    x = 147,958,966.59/13,813.54
  6. Step 6: Final answer
    x = 10,711.15

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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.