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Finding the Fourth Proportional to 7,070.49, 9,763.84 and 4,558.48

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Solution

The fourth proportional to 7,070.49, 9,763.84 and 4,558.48 is: 6,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.49 : 9,763.84 = 4,558.48 : x
  2. Step 2: Convert to fraction form
    7,070.49/9,763.84 = 4,558.48/x
  3. Step 3: Cross multiply
    7,070.49x = 9,763.84 × 4,558.48
  4. Step 4: Simplify right side
    7,070.49x = 44,508,250.65
  5. Step 5: Solve for x
    x = 44,508,250.65/7,070.49
  6. Step 6: Final answer
    x = 6,294.93

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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.