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Finding the Fourth Proportional to 9,282.01, 12,809.40 and 5,303.04

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Solution

The fourth proportional to 9,282.01, 12,809.40 and 5,303.04 is: 7,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.01 : 12,809.40 = 5,303.04 : x
  2. Step 2: Convert to fraction form
    9,282.01/12,809.40 = 5,303.04/x
  3. Step 3: Cross multiply
    9,282.01x = 12,809.40 × 5,303.04
  4. Step 4: Simplify right side
    9,282.01x = 67,928,760.58
  5. Step 5: Solve for x
    x = 67,928,760.58/9,282.01
  6. Step 6: Final answer
    x = 7,318.32

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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.