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Finding the Fourth Proportional to 9,952.92, 14,935.50 and 5,794.77

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Solution

The fourth proportional to 9,952.92, 14,935.50 and 5,794.77 is: 8,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.92 : 14,935.50 = 5,794.77 : x
  2. Step 2: Convert to fraction form
    9,952.92/14,935.50 = 5,794.77/x
  3. Step 3: Cross multiply
    9,952.92x = 14,935.50 × 5,794.77
  4. Step 4: Simplify right side
    9,952.92x = 86,547,787.34
  5. Step 5: Solve for x
    x = 86,547,787.34/9,952.92
  6. Step 6: Final answer
    x = 8,695.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.