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Finding the Fourth Proportional to 10,653.03, 14,700.78 and 5,937.21

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Solution

The fourth proportional to 10,653.03, 14,700.78 and 5,937.21 is: 8,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.03 : 14,700.78 = 5,937.21 : x
  2. Step 2: Convert to fraction form
    10,653.03/14,700.78 = 5,937.21/x
  3. Step 3: Cross multiply
    10,653.03x = 14,700.78 × 5,937.21
  4. Step 4: Simplify right side
    10,653.03x = 87,281,618.02
  5. Step 5: Solve for x
    x = 87,281,618.02/10,653.03
  6. Step 6: Final answer
    x = 8,193.13

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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.