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Finding the Fourth Proportional to 9,155.52, 13,733.76 and 2,916.06

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Solution

The fourth proportional to 9,155.52, 13,733.76 and 2,916.06 is: 4,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.52 : 13,733.76 = 2,916.06 : x
  2. Step 2: Convert to fraction form
    9,155.52/13,733.76 = 2,916.06/x
  3. Step 3: Cross multiply
    9,155.52x = 13,733.76 × 2,916.06
  4. Step 4: Simplify right side
    9,155.52x = 40,048,468.19
  5. Step 5: Solve for x
    x = 40,048,468.19/9,155.52
  6. Step 6: Final answer
    x = 4,374.24

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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.