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Finding the Fourth Proportional to 6,564.45, 9,059.16 and 3,580.45

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Solution

The fourth proportional to 6,564.45, 9,059.16 and 3,580.45 is: 4,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.45 : 9,059.16 = 3,580.45 : x
  2. Step 2: Convert to fraction form
    6,564.45/9,059.16 = 3,580.45/x
  3. Step 3: Cross multiply
    6,564.45x = 9,059.16 × 3,580.45
  4. Step 4: Simplify right side
    6,564.45x = 32,435,869.42
  5. Step 5: Solve for x
    x = 32,435,869.42/6,564.45
  6. Step 6: Final answer
    x = 4,941.14

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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.