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Finding the Fourth Proportional to 9,752.16, 13,456.08 and 7,885.92

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Solution

The fourth proportional to 9,752.16, 13,456.08 and 7,885.92 is: 10,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.16 : 13,456.08 = 7,885.92 : x
  2. Step 2: Convert to fraction form
    9,752.16/13,456.08 = 7,885.92/x
  3. Step 3: Cross multiply
    9,752.16x = 13,456.08 × 7,885.92
  4. Step 4: Simplify right side
    9,752.16x = 106,113,570.39
  5. Step 5: Solve for x
    x = 106,113,570.39/9,752.16
  6. Step 6: Final answer
    x = 10,881.03

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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.