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Finding the Fourth Proportional to 7,075.50, 10,618.12 and 2,458.50

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Solution

The fourth proportional to 7,075.50, 10,618.12 and 2,458.50 is: 3,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.50 : 10,618.12 = 2,458.50 : x
  2. Step 2: Convert to fraction form
    7,075.50/10,618.12 = 2,458.50/x
  3. Step 3: Cross multiply
    7,075.50x = 10,618.12 × 2,458.50
  4. Step 4: Simplify right side
    7,075.50x = 26,104,648.02
  5. Step 5: Solve for x
    x = 26,104,648.02/7,075.50
  6. Step 6: Final answer
    x = 3,689.44

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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.