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Finding the Fourth Proportional to 9,934.04, 13,709.04 and 5,458.16

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Solution

The fourth proportional to 9,934.04, 13,709.04 and 5,458.16 is: 7,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.04 : 13,709.04 = 5,458.16 : x
  2. Step 2: Convert to fraction form
    9,934.04/13,709.04 = 5,458.16/x
  3. Step 3: Cross multiply
    9,934.04x = 13,709.04 × 5,458.16
  4. Step 4: Simplify right side
    9,934.04x = 74,826,133.77
  5. Step 5: Solve for x
    x = 74,826,133.77/9,934.04
  6. Step 6: Final answer
    x = 7,532.30

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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.