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Finding the Fourth Proportional to 6,709.67, 9,259.43 and 4,056.60

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Solution

The fourth proportional to 6,709.67, 9,259.43 and 4,056.60 is: 5,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.67 : 9,259.43 = 4,056.60 : x
  2. Step 2: Convert to fraction form
    6,709.67/9,259.43 = 4,056.60/x
  3. Step 3: Cross multiply
    6,709.67x = 9,259.43 × 4,056.60
  4. Step 4: Simplify right side
    6,709.67x = 37,561,783.46
  5. Step 5: Solve for x
    x = 37,561,783.46/6,709.67
  6. Step 6: Final answer
    x = 5,598.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.