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Finding the Fourth Proportional to 9,783.63, 13,507.56 and 7,541.28

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Solution

The fourth proportional to 9,783.63, 13,507.56 and 7,541.28 is: 10,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.63 : 13,507.56 = 7,541.28 : x
  2. Step 2: Convert to fraction form
    9,783.63/13,507.56 = 7,541.28/x
  3. Step 3: Cross multiply
    9,783.63x = 13,507.56 × 7,541.28
  4. Step 4: Simplify right side
    9,783.63x = 101,864,292.08
  5. Step 5: Solve for x
    x = 101,864,292.08/9,783.63
  6. Step 6: Final answer
    x = 10,411.71

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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.