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Finding the Fourth Proportional to 7,547.01, 10,414.64 and 4,144.01

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Solution

The fourth proportional to 7,547.01, 10,414.64 and 4,144.01 is: 5,718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.01 : 10,414.64 = 4,144.01 : x
  2. Step 2: Convert to fraction form
    7,547.01/10,414.64 = 4,144.01/x
  3. Step 3: Cross multiply
    7,547.01x = 10,414.64 × 4,144.01
  4. Step 4: Simplify right side
    7,547.01x = 43,158,389.18
  5. Step 5: Solve for x
    x = 43,158,389.18/7,547.01
  6. Step 6: Final answer
    x = 5,718.61

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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.