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Finding the Fourth Proportional to 10,482.78, 15,718.14 and 6,270.24

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Solution

The fourth proportional to 10,482.78, 15,718.14 and 6,270.24 is: 9,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.78 : 15,718.14 = 6,270.24 : x
  2. Step 2: Convert to fraction form
    10,482.78/15,718.14 = 6,270.24/x
  3. Step 3: Cross multiply
    10,482.78x = 15,718.14 × 6,270.24
  4. Step 4: Simplify right side
    10,482.78x = 98,556,510.15
  5. Step 5: Solve for x
    x = 98,556,510.15/10,482.78
  6. Step 6: Final answer
    x = 9,401.75

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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.