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Finding the Fourth Proportional to 11,865.60, 17,779.20 and 7,475.20

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Solution

The fourth proportional to 11,865.60, 17,779.20 and 7,475.20 is: 11,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.60 : 17,779.20 = 7,475.20 : x
  2. Step 2: Convert to fraction form
    11,865.60/17,779.20 = 7,475.20/x
  3. Step 3: Cross multiply
    11,865.60x = 17,779.20 × 7,475.20
  4. Step 4: Simplify right side
    11,865.60x = 132,903,075.84
  5. Step 5: Solve for x
    x = 132,903,075.84/11,865.60
  6. Step 6: Final answer
    x = 11,200.70

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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.