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Finding the Fourth Proportional to 9,752.54, 13,459.65 and 9,446.36

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Solution

The fourth proportional to 9,752.54, 13,459.65 and 9,446.36 is: 13,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.54 : 13,459.65 = 9,446.36 : x
  2. Step 2: Convert to fraction form
    9,752.54/13,459.65 = 9,446.36/x
  3. Step 3: Cross multiply
    9,752.54x = 13,459.65 × 9,446.36
  4. Step 4: Simplify right side
    9,752.54x = 127,144,699.37
  5. Step 5: Solve for x
    x = 127,144,699.37/9,752.54
  6. Step 6: Final answer
    x = 13,037.09

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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.