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Finding the Fourth Proportional to 13,775.14, 19,008.89 and 7,487.46

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Solution

The fourth proportional to 13,775.14, 19,008.89 and 7,487.46 is: 10,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.14 : 19,008.89 = 7,487.46 : x
  2. Step 2: Convert to fraction form
    13,775.14/19,008.89 = 7,487.46/x
  3. Step 3: Cross multiply
    13,775.14x = 19,008.89 × 7,487.46
  4. Step 4: Simplify right side
    13,775.14x = 142,328,303.52
  5. Step 5: Solve for x
    x = 142,328,303.52/13,775.14
  6. Step 6: Final answer
    x = 10,332.26

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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.