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Finding the Fourth Proportional to 13,015.76, 17,965.32 and 7,710.80

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Solution

The fourth proportional to 13,015.76, 17,965.32 and 7,710.80 is: 10,643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.76 : 17,965.32 = 7,710.80 : x
  2. Step 2: Convert to fraction form
    13,015.76/17,965.32 = 7,710.80/x
  3. Step 3: Cross multiply
    13,015.76x = 17,965.32 × 7,710.80
  4. Step 4: Simplify right side
    13,015.76x = 138,526,989.46
  5. Step 5: Solve for x
    x = 138,526,989.46/13,015.76
  6. Step 6: Final answer
    x = 10,643.02

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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.