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Finding the Fourth Proportional to 15,894.93, 23,813.32 and 7,445.92

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Solution

The fourth proportional to 15,894.93, 23,813.32 and 7,445.92 is: 11,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.93 : 23,813.32 = 7,445.92 : x
  2. Step 2: Convert to fraction form
    15,894.93/23,813.32 = 7,445.92/x
  3. Step 3: Cross multiply
    15,894.93x = 23,813.32 × 7,445.92
  4. Step 4: Simplify right side
    15,894.93x = 177,312,075.65
  5. Step 5: Solve for x
    x = 177,312,075.65/15,894.93
  6. Step 6: Final answer
    x = 11,155.26

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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.