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Finding the Fourth Proportional to 7,317.95, 10,098 and 4,130.97

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Solution

The fourth proportional to 7,317.95, 10,098 and 4,130.97 is: 5,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.95 : 10,098 = 4,130.97 : x
  2. Step 2: Convert to fraction form
    7,317.95/10,098 = 4,130.97/x
  3. Step 3: Cross multiply
    7,317.95x = 10,098 × 4,130.97
  4. Step 4: Simplify right side
    7,317.95x = 41,714,497.19
  5. Step 5: Solve for x
    x = 41,714,497.19/7,317.95
  6. Step 6: Final answer
    x = 5,700.30

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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.