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Finding the Fourth Proportional to 9,833.64, 14,746.54 and 3,592.23

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Solution

The fourth proportional to 9,833.64, 14,746.54 and 3,592.23 is: 5,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.64 : 14,746.54 = 3,592.23 : x
  2. Step 2: Convert to fraction form
    9,833.64/14,746.54 = 3,592.23/x
  3. Step 3: Cross multiply
    9,833.64x = 14,746.54 × 3,592.23
  4. Step 4: Simplify right side
    9,833.64x = 52,972,963.38
  5. Step 5: Solve for x
    x = 52,972,963.38/9,833.64
  6. Step 6: Final answer
    x = 5,386.91

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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.