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Finding the Fourth Proportional to 4,597.63, 6,895.23 and 1,310.91

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Solution

The fourth proportional to 4,597.63, 6,895.23 and 1,310.91 is: 1,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.63 : 6,895.23 = 1,310.91 : x
  2. Step 2: Convert to fraction form
    4,597.63/6,895.23 = 1,310.91/x
  3. Step 3: Cross multiply
    4,597.63x = 6,895.23 × 1,310.91
  4. Step 4: Simplify right side
    4,597.63x = 9,039,025.96
  5. Step 5: Solve for x
    x = 9,039,025.96/4,597.63
  6. Step 6: Final answer
    x = 1,966.02

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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.