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Finding the Fourth Proportional to 7,152.36, 9,865.29 and 5,032.32

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Solution

The fourth proportional to 7,152.36, 9,865.29 and 5,032.32 is: 6,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.36 : 9,865.29 = 5,032.32 : x
  2. Step 2: Convert to fraction form
    7,152.36/9,865.29 = 5,032.32/x
  3. Step 3: Cross multiply
    7,152.36x = 9,865.29 × 5,032.32
  4. Step 4: Simplify right side
    7,152.36x = 49,645,296.17
  5. Step 5: Solve for x
    x = 49,645,296.17/7,152.36
  6. Step 6: Final answer
    x = 6,941.11

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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.