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Finding the Fourth Proportional to 11,442, 15,779.16 and 7,466.16

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Solution

The fourth proportional to 11,442, 15,779.16 and 7,466.16 is: 10,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442 : 15,779.16 = 7,466.16 : x
  2. Step 2: Convert to fraction form
    11,442/15,779.16 = 7,466.16/x
  3. Step 3: Cross multiply
    11,442x = 15,779.16 × 7,466.16
  4. Step 4: Simplify right side
    11,442x = 117,809,733.23
  5. Step 5: Solve for x
    x = 117,809,733.23/11,442
  6. Step 6: Final answer
    x = 10,296.25

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Double scale
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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.