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Finding the Fourth Proportional to 7,075.47, 9,763.74 and 4,091.10

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Solution

The fourth proportional to 7,075.47, 9,763.74 and 4,091.10 is: 5,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.47 : 9,763.74 = 4,091.10 : x
  2. Step 2: Convert to fraction form
    7,075.47/9,763.74 = 4,091.10/x
  3. Step 3: Cross multiply
    7,075.47x = 9,763.74 × 4,091.10
  4. Step 4: Simplify right side
    7,075.47x = 39,944,436.71
  5. Step 5: Solve for x
    x = 39,944,436.71/7,075.47
  6. Step 6: Final answer
    x = 5,645.48

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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.