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Finding the Fourth Proportional to 9,767.04, 14,627.04 and 5,074.56

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Solution

The fourth proportional to 9,767.04, 14,627.04 and 5,074.56 is: 7,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.04 : 14,627.04 = 5,074.56 : x
  2. Step 2: Convert to fraction form
    9,767.04/14,627.04 = 5,074.56/x
  3. Step 3: Cross multiply
    9,767.04x = 14,627.04 × 5,074.56
  4. Step 4: Simplify right side
    9,767.04x = 74,225,792.10
  5. Step 5: Solve for x
    x = 74,225,792.10/9,767.04
  6. Step 6: Final answer
    x = 7,599.62

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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.