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Finding the Fourth Proportional to 4,050.28, 6,075.42 and 972.28

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Solution

The fourth proportional to 4,050.28, 6,075.42 and 972.28 is: 1,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,050.28 : 6,075.42 = 972.28 : x
  2. Step 2: Convert to fraction form
    4,050.28/6,075.42 = 972.28/x
  3. Step 3: Cross multiply
    4,050.28x = 6,075.42 × 972.28
  4. Step 4: Simplify right side
    4,050.28x = 5,907,018.77
  5. Step 5: Solve for x
    x = 5,907,018.77/4,050.28
  6. Step 6: Final answer
    x = 1,458.42

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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.