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Finding the Fourth Proportional to 7,103.52, 9,803.16 and 4,448.88

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Solution

The fourth proportional to 7,103.52, 9,803.16 and 4,448.88 is: 6,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.52 : 9,803.16 = 4,448.88 : x
  2. Step 2: Convert to fraction form
    7,103.52/9,803.16 = 4,448.88/x
  3. Step 3: Cross multiply
    7,103.52x = 9,803.16 × 4,448.88
  4. Step 4: Simplify right side
    7,103.52x = 43,613,082.46
  5. Step 5: Solve for x
    x = 43,613,082.46/7,103.52
  6. Step 6: Final answer
    x = 6,139.64

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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.