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Finding the Fourth Proportional to 9,303.64, 12,841.08 and 7,283.04

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Solution

The fourth proportional to 9,303.64, 12,841.08 and 7,283.04 is: 10,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.64 : 12,841.08 = 7,283.04 : x
  2. Step 2: Convert to fraction form
    9,303.64/12,841.08 = 7,283.04/x
  3. Step 3: Cross multiply
    9,303.64x = 12,841.08 × 7,283.04
  4. Step 4: Simplify right side
    9,303.64x = 93,522,099.28
  5. Step 5: Solve for x
    x = 93,522,099.28/9,303.64
  6. Step 6: Final answer
    x = 10,052.21

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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.