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Finding the Fourth Proportional to 10,612.64, 14,641.08 and 6,835.16

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Solution

The fourth proportional to 10,612.64, 14,641.08 and 6,835.16 is: 9,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.64 : 14,641.08 = 6,835.16 : x
  2. Step 2: Convert to fraction form
    10,612.64/14,641.08 = 6,835.16/x
  3. Step 3: Cross multiply
    10,612.64x = 14,641.08 × 6,835.16
  4. Step 4: Simplify right side
    10,612.64x = 100,074,124.37
  5. Step 5: Solve for x
    x = 100,074,124.37/10,612.64
  6. Step 6: Final answer
    x = 9,429.71

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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.