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Finding the Fourth Proportional to 8,282.32, 11,429.90 and 4,746.21

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Solution

The fourth proportional to 8,282.32, 11,429.90 and 4,746.21 is: 6,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.32 : 11,429.90 = 4,746.21 : x
  2. Step 2: Convert to fraction form
    8,282.32/11,429.90 = 4,746.21/x
  3. Step 3: Cross multiply
    8,282.32x = 11,429.90 × 4,746.21
  4. Step 4: Simplify right side
    8,282.32x = 54,248,681.95
  5. Step 5: Solve for x
    x = 54,248,681.95/8,282.32
  6. Step 6: Final answer
    x = 6,549.94

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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.