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Finding the Fourth Proportional to 9,287.64, 12,820.01 and 8,303.49

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Solution

The fourth proportional to 9,287.64, 12,820.01 and 8,303.49 is: 11,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.64 : 12,820.01 = 8,303.49 : x
  2. Step 2: Convert to fraction form
    9,287.64/12,820.01 = 8,303.49/x
  3. Step 3: Cross multiply
    9,287.64x = 12,820.01 × 8,303.49
  4. Step 4: Simplify right side
    9,287.64x = 106,450,783.32
  5. Step 5: Solve for x
    x = 106,450,783.32/9,287.64
  6. Step 6: Final answer
    x = 11,461.55

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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.