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Finding the Fourth Proportional to 7,970.82, 10,993.19 and 7,075.22

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Solution

The fourth proportional to 7,970.82, 10,993.19 and 7,075.22 is: 9,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.82 : 10,993.19 = 7,075.22 : x
  2. Step 2: Convert to fraction form
    7,970.82/10,993.19 = 7,075.22/x
  3. Step 3: Cross multiply
    7,970.82x = 10,993.19 × 7,075.22
  4. Step 4: Simplify right side
    7,970.82x = 77,779,237.75
  5. Step 5: Solve for x
    x = 77,779,237.75/7,970.82
  6. Step 6: Final answer
    x = 9,758.00

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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.