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Finding the Fourth Proportional to 6,971.84, 10,460.16 and 3,075.68

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Solution

The fourth proportional to 6,971.84, 10,460.16 and 3,075.68 is: 4,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.84 : 10,460.16 = 3,075.68 : x
  2. Step 2: Convert to fraction form
    6,971.84/10,460.16 = 3,075.68/x
  3. Step 3: Cross multiply
    6,971.84x = 10,460.16 × 3,075.68
  4. Step 4: Simplify right side
    6,971.84x = 32,172,104.91
  5. Step 5: Solve for x
    x = 32,172,104.91/6,971.84
  6. Step 6: Final answer
    x = 4,614.58

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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.