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Finding the Fourth Proportional to 7,075.76, 9,764.82 and 3,931.88

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Solution

The fourth proportional to 7,075.76, 9,764.82 and 3,931.88 is: 5,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.76 : 9,764.82 = 3,931.88 : x
  2. Step 2: Convert to fraction form
    7,075.76/9,764.82 = 3,931.88/x
  3. Step 3: Cross multiply
    7,075.76x = 9,764.82 × 3,931.88
  4. Step 4: Simplify right side
    7,075.76x = 38,394,051.64
  5. Step 5: Solve for x
    x = 38,394,051.64/7,075.76
  6. Step 6: Final answer
    x = 5,426.14

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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.