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Finding the Fourth Proportional to 4,597.10, 6,895.65 and 4,564.70

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Solution

The fourth proportional to 4,597.10, 6,895.65 and 4,564.70 is: 6,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.10 : 6,895.65 = 4,564.70 : x
  2. Step 2: Convert to fraction form
    4,597.10/6,895.65 = 4,564.70/x
  3. Step 3: Cross multiply
    4,597.10x = 6,895.65 × 4,564.70
  4. Step 4: Simplify right side
    4,597.10x = 31,476,573.56
  5. Step 5: Solve for x
    x = 31,476,573.56/4,597.10
  6. Step 6: Final answer
    x = 6,847.05

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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.