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Finding the Fourth Proportional to 6,075.04, 9,111.84 and 1,971.04

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Solution

The fourth proportional to 6,075.04, 9,111.84 and 1,971.04 is: 2,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.04 : 9,111.84 = 1,971.04 : x
  2. Step 2: Convert to fraction form
    6,075.04/9,111.84 = 1,971.04/x
  3. Step 3: Cross multiply
    6,075.04x = 9,111.84 × 1,971.04
  4. Step 4: Simplify right side
    6,075.04x = 17,959,801.11
  5. Step 5: Solve for x
    x = 17,959,801.11/6,075.04
  6. Step 6: Final answer
    x = 2,956.33

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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.