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Finding the Fourth Proportional to 14,612.16, 21,925.44 and 6,821.52

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Solution

The fourth proportional to 14,612.16, 21,925.44 and 6,821.52 is: 10,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.16 : 21,925.44 = 6,821.52 : x
  2. Step 2: Convert to fraction form
    14,612.16/21,925.44 = 6,821.52/x
  3. Step 3: Cross multiply
    14,612.16x = 21,925.44 × 6,821.52
  4. Step 4: Simplify right side
    14,612.16x = 149,564,827.47
  5. Step 5: Solve for x
    x = 149,564,827.47/14,612.16
  6. Step 6: Final answer
    x = 10,235.64

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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.