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Finding the Fourth Proportional to 9,313.68, 13,970.16 and 3,157.68

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Solution

The fourth proportional to 9,313.68, 13,970.16 and 3,157.68 is: 4,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.68 : 13,970.16 = 3,157.68 : x
  2. Step 2: Convert to fraction form
    9,313.68/13,970.16 = 3,157.68/x
  3. Step 3: Cross multiply
    9,313.68x = 13,970.16 × 3,157.68
  4. Step 4: Simplify right side
    9,313.68x = 44,113,294.83
  5. Step 5: Solve for x
    x = 44,113,294.83/9,313.68
  6. Step 6: Final answer
    x = 4,736.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.