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Finding the Fourth Proportional to 9,295.70, 12,830.19 and 5,319.01

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Solution

The fourth proportional to 9,295.70, 12,830.19 and 5,319.01 is: 7,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.70 : 12,830.19 = 5,319.01 : x
  2. Step 2: Convert to fraction form
    9,295.70/12,830.19 = 5,319.01/x
  3. Step 3: Cross multiply
    9,295.70x = 12,830.19 × 5,319.01
  4. Step 4: Simplify right side
    9,295.70x = 68,243,876.84
  5. Step 5: Solve for x
    x = 68,243,876.84/9,295.70
  6. Step 6: Final answer
    x = 7,341.44

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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.