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Finding the Fourth Proportional to 7,053.12, 9,733.16 and 4,068.74

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Solution

The fourth proportional to 7,053.12, 9,733.16 and 4,068.74 is: 5,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.12 : 9,733.16 = 4,068.74 : x
  2. Step 2: Convert to fraction form
    7,053.12/9,733.16 = 4,068.74/x
  3. Step 3: Cross multiply
    7,053.12x = 9,733.16 × 4,068.74
  4. Step 4: Simplify right side
    7,053.12x = 39,601,697.42
  5. Step 5: Solve for x
    x = 39,601,697.42/7,053.12
  6. Step 6: Final answer
    x = 5,614.78

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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.