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Finding the Fourth Proportional to 10,735.47, 14,814.95 and 5,956.16

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Solution

The fourth proportional to 10,735.47, 14,814.95 and 5,956.16 is: 8,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.47 : 14,814.95 = 5,956.16 : x
  2. Step 2: Convert to fraction form
    10,735.47/14,814.95 = 5,956.16/x
  3. Step 3: Cross multiply
    10,735.47x = 14,814.95 × 5,956.16
  4. Step 4: Simplify right side
    10,735.47x = 88,240,108.74
  5. Step 5: Solve for x
    x = 88,240,108.74/10,735.47
  6. Step 6: Final answer
    x = 8,219.49

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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.