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Finding the Fourth Proportional to 14,596, 20,146.08 and 8,312.08

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Solution

The fourth proportional to 14,596, 20,146.08 and 8,312.08 is: 11,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596 : 20,146.08 = 8,312.08 : x
  2. Step 2: Convert to fraction form
    14,596/20,146.08 = 8,312.08/x
  3. Step 3: Cross multiply
    14,596x = 20,146.08 × 8,312.08
  4. Step 4: Simplify right side
    14,596x = 167,455,828.65
  5. Step 5: Solve for x
    x = 167,455,828.65/14,596
  6. Step 6: Final answer
    x = 11,472.72

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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.