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Finding the Fourth Proportional to 25,852.64, 38,779.10 and 9,213.32

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Solution

The fourth proportional to 25,852.64, 38,779.10 and 9,213.32 is: 13,820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.64 : 38,779.10 = 9,213.32 : x
  2. Step 2: Convert to fraction form
    25,852.64/38,779.10 = 9,213.32/x
  3. Step 3: Cross multiply
    25,852.64x = 38,779.10 × 9,213.32
  4. Step 4: Simplify right side
    25,852.64x = 357,284,257.61
  5. Step 5: Solve for x
    x = 357,284,257.61/25,852.64
  6. Step 6: Final answer
    x = 13,820.03

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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.