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Finding the Fourth Proportional to 21,852.76, 32,784.40 and 6,270.24

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Solution

The fourth proportional to 21,852.76, 32,784.40 and 6,270.24 is: 9,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.76 : 32,784.40 = 6,270.24 : x
  2. Step 2: Convert to fraction form
    21,852.76/32,784.40 = 6,270.24/x
  3. Step 3: Cross multiply
    21,852.76x = 32,784.40 × 6,270.24
  4. Step 4: Simplify right side
    21,852.76x = 205,566,056.26
  5. Step 5: Solve for x
    x = 205,566,056.26/21,852.76
  6. Step 6: Final answer
    x = 9,406.87

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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.