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Finding the Fourth Proportional to 4,599.46, 6,899.46 and 1,312.30

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Solution

The fourth proportional to 4,599.46, 6,899.46 and 1,312.30 is: 1,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.46 : 6,899.46 = 1,312.30 : x
  2. Step 2: Convert to fraction form
    4,599.46/6,899.46 = 1,312.30/x
  3. Step 3: Cross multiply
    4,599.46x = 6,899.46 × 1,312.30
  4. Step 4: Simplify right side
    4,599.46x = 9,054,154.80
  5. Step 5: Solve for x
    x = 9,054,154.80/4,599.46
  6. Step 6: Final answer
    x = 1,968.53

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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.