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Finding the Fourth Proportional to 7,853.01, 10,837.16 and 4,316.14

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Solution

The fourth proportional to 7,853.01, 10,837.16 and 4,316.14 is: 5,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.01 : 10,837.16 = 4,316.14 : x
  2. Step 2: Convert to fraction form
    7,853.01/10,837.16 = 4,316.14/x
  3. Step 3: Cross multiply
    7,853.01x = 10,837.16 × 4,316.14
  4. Step 4: Simplify right side
    7,853.01x = 46,774,699.76
  5. Step 5: Solve for x
    x = 46,774,699.76/7,853.01
  6. Step 6: Final answer
    x = 5,956.28

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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.