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Finding the Fourth Proportional to 7,142.42, 9,856.54 and 4,347.92

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Solution

The fourth proportional to 7,142.42, 9,856.54 and 4,347.92 is: 6,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.42 : 9,856.54 = 4,347.92 : x
  2. Step 2: Convert to fraction form
    7,142.42/9,856.54 = 4,347.92/x
  3. Step 3: Cross multiply
    7,142.42x = 9,856.54 × 4,347.92
  4. Step 4: Simplify right side
    7,142.42x = 42,855,482.91
  5. Step 5: Solve for x
    x = 42,855,482.91/7,142.42
  6. Step 6: Final answer
    x = 6,000.13

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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.