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Finding the Fourth Proportional to 9,573.80, 13,209.86 and 5,594.13

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Solution

The fourth proportional to 9,573.80, 13,209.86 and 5,594.13 is: 7,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.80 : 13,209.86 = 5,594.13 : x
  2. Step 2: Convert to fraction form
    9,573.80/13,209.86 = 5,594.13/x
  3. Step 3: Cross multiply
    9,573.80x = 13,209.86 × 5,594.13
  4. Step 4: Simplify right side
    9,573.80x = 73,897,688.11
  5. Step 5: Solve for x
    x = 73,897,688.11/9,573.80
  6. Step 6: Final answer
    x = 7,718.75

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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.