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Finding the Fourth Proportional to 10,809.65, 14,916.67 and 6,271.98

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Solution

The fourth proportional to 10,809.65, 14,916.67 and 6,271.98 is: 8,654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.65 : 14,916.67 = 6,271.98 : x
  2. Step 2: Convert to fraction form
    10,809.65/14,916.67 = 6,271.98/x
  3. Step 3: Cross multiply
    10,809.65x = 14,916.67 × 6,271.98
  4. Step 4: Simplify right side
    10,809.65x = 93,556,984.29
  5. Step 5: Solve for x
    x = 93,556,984.29/10,809.65
  6. Step 6: Final answer
    x = 8,654.95

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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.