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Finding the Fourth Proportional to 7,856.70, 10,842.35 and 4,271.70

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Solution

The fourth proportional to 7,856.70, 10,842.35 and 4,271.70 is: 5,895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.70 : 10,842.35 = 4,271.70 : x
  2. Step 2: Convert to fraction form
    7,856.70/10,842.35 = 4,271.70/x
  3. Step 3: Cross multiply
    7,856.70x = 10,842.35 × 4,271.70
  4. Step 4: Simplify right side
    7,856.70x = 46,315,245.14
  5. Step 5: Solve for x
    x = 46,315,245.14/7,856.70
  6. Step 6: Final answer
    x = 5,895.00

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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.