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Finding the Fourth Proportional to 9,573.52, 13,211.64 and 5,381.76

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Solution

The fourth proportional to 9,573.52, 13,211.64 and 5,381.76 is: 7,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.52 : 13,211.64 = 5,381.76 : x
  2. Step 2: Convert to fraction form
    9,573.52/13,211.64 = 5,381.76/x
  3. Step 3: Cross multiply
    9,573.52x = 13,211.64 × 5,381.76
  4. Step 4: Simplify right side
    9,573.52x = 71,101,875.69
  5. Step 5: Solve for x
    x = 71,101,875.69/9,573.52
  6. Step 6: Final answer
    x = 7,426.93

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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.