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Finding the Fourth Proportional to 9,347.10, 12,898.90 and 5,369.46

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Solution

The fourth proportional to 9,347.10, 12,898.90 and 5,369.46 is: 7,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.10 : 12,898.90 = 5,369.46 : x
  2. Step 2: Convert to fraction form
    9,347.10/12,898.90 = 5,369.46/x
  3. Step 3: Cross multiply
    9,347.10x = 12,898.90 × 5,369.46
  4. Step 4: Simplify right side
    9,347.10x = 69,260,127.59
  5. Step 5: Solve for x
    x = 69,260,127.59/9,347.10
  6. Step 6: Final answer
    x = 7,409.80

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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.