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Finding the Fourth Proportional to 10,549.02, 15,821.10 and 7,283.10

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Solution

The fourth proportional to 10,549.02, 15,821.10 and 7,283.10 is: 10,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.02 : 15,821.10 = 7,283.10 : x
  2. Step 2: Convert to fraction form
    10,549.02/15,821.10 = 7,283.10/x
  3. Step 3: Cross multiply
    10,549.02x = 15,821.10 × 7,283.10
  4. Step 4: Simplify right side
    10,549.02x = 115,226,653.41
  5. Step 5: Solve for x
    x = 115,226,653.41/10,549.02
  6. Step 6: Final answer
    x = 10,922.97

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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.