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Finding the Fourth Proportional to 9,594.76, 13,246.50 and 6,939.40

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Solution

The fourth proportional to 9,594.76, 13,246.50 and 6,939.40 is: 9,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.76 : 13,246.50 = 6,939.40 : x
  2. Step 2: Convert to fraction form
    9,594.76/13,246.50 = 6,939.40/x
  3. Step 3: Cross multiply
    9,594.76x = 13,246.50 × 6,939.40
  4. Step 4: Simplify right side
    9,594.76x = 91,922,762.10
  5. Step 5: Solve for x
    x = 91,922,762.10/9,594.76
  6. Step 6: Final answer
    x = 9,580.52

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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.