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Finding the Fourth Proportional to 10,508.50, 15,762.84 and 2,716.84

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Solution

The fourth proportional to 10,508.50, 15,762.84 and 2,716.84 is: 4,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.50 : 15,762.84 = 2,716.84 : x
  2. Step 2: Convert to fraction form
    10,508.50/15,762.84 = 2,716.84/x
  3. Step 3: Cross multiply
    10,508.50x = 15,762.84 × 2,716.84
  4. Step 4: Simplify right side
    10,508.50x = 42,825,114.23
  5. Step 5: Solve for x
    x = 42,825,114.23/10,508.50
  6. Step 6: Final answer
    x = 4,075.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.