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Finding the Fourth Proportional to 8,294.90, 11,442.93 and 5,308.34

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Solution

The fourth proportional to 8,294.90, 11,442.93 and 5,308.34 is: 7,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.90 : 11,442.93 = 5,308.34 : x
  2. Step 2: Convert to fraction form
    8,294.90/11,442.93 = 5,308.34/x
  3. Step 3: Cross multiply
    8,294.90x = 11,442.93 × 5,308.34
  4. Step 4: Simplify right side
    8,294.90x = 60,742,963.04
  5. Step 5: Solve for x
    x = 60,742,963.04/8,294.90
  6. Step 6: Final answer
    x = 7,322.93

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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.