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Finding the Fourth Proportional to 7,291.84, 10,947.44 and 4,335.76

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Solution

The fourth proportional to 7,291.84, 10,947.44 and 4,335.76 is: 6,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.84 : 10,947.44 = 4,335.76 : x
  2. Step 2: Convert to fraction form
    7,291.84/10,947.44 = 4,335.76/x
  3. Step 3: Cross multiply
    7,291.84x = 10,947.44 × 4,335.76
  4. Step 4: Simplify right side
    7,291.84x = 47,465,472.45
  5. Step 5: Solve for x
    x = 47,465,472.45/7,291.84
  6. Step 6: Final answer
    x = 6,509.40

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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.