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Finding the Fourth Proportional to 4,897.68, 7,347.22 and 2,432.46

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Solution

The fourth proportional to 4,897.68, 7,347.22 and 2,432.46 is: 3,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.68 : 7,347.22 = 2,432.46 : x
  2. Step 2: Convert to fraction form
    4,897.68/7,347.22 = 2,432.46/x
  3. Step 3: Cross multiply
    4,897.68x = 7,347.22 × 2,432.46
  4. Step 4: Simplify right side
    4,897.68x = 17,871,818.76
  5. Step 5: Solve for x
    x = 17,871,818.76/4,897.68
  6. Step 6: Final answer
    x = 3,649.04

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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.