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Finding the Fourth Proportional to 23,658.32, 35,484.60 and 8,075.60

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Solution

The fourth proportional to 23,658.32, 35,484.60 and 8,075.60 is: 12,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.32 : 35,484.60 = 8,075.60 : x
  2. Step 2: Convert to fraction form
    23,658.32/35,484.60 = 8,075.60/x
  3. Step 3: Cross multiply
    23,658.32x = 35,484.60 × 8,075.60
  4. Step 4: Simplify right side
    23,658.32x = 286,559,435.76
  5. Step 5: Solve for x
    x = 286,559,435.76/23,658.32
  6. Step 6: Final answer
    x = 12,112.42

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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.