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Finding the Fourth Proportional to 10,316.46, 15,465.94 and 5,313.16

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Solution

The fourth proportional to 10,316.46, 15,465.94 and 5,313.16 is: 7,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.46 : 15,465.94 = 5,313.16 : x
  2. Step 2: Convert to fraction form
    10,316.46/15,465.94 = 5,313.16/x
  3. Step 3: Cross multiply
    10,316.46x = 15,465.94 × 5,313.16
  4. Step 4: Simplify right side
    10,316.46x = 82,173,019.82
  5. Step 5: Solve for x
    x = 82,173,019.82/10,316.46
  6. Step 6: Final answer
    x = 7,965.23

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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.