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Finding the Fourth Proportional to 9,036.84, 13,609.47 and 7,953.06

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Solution

The fourth proportional to 9,036.84, 13,609.47 and 7,953.06 is: 11,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.84 : 13,609.47 = 7,953.06 : x
  2. Step 2: Convert to fraction form
    9,036.84/13,609.47 = 7,953.06/x
  3. Step 3: Cross multiply
    9,036.84x = 13,609.47 × 7,953.06
  4. Step 4: Simplify right side
    9,036.84x = 108,236,931.48
  5. Step 5: Solve for x
    x = 108,236,931.48/9,036.84
  6. Step 6: Final answer
    x = 11,977.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.