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Finding the Fourth Proportional to 8,442.40, 12,663.60 and 6,802.16

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Solution

The fourth proportional to 8,442.40, 12,663.60 and 6,802.16 is: 10,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.40 : 12,663.60 = 6,802.16 : x
  2. Step 2: Convert to fraction form
    8,442.40/12,663.60 = 6,802.16/x
  3. Step 3: Cross multiply
    8,442.40x = 12,663.60 × 6,802.16
  4. Step 4: Simplify right side
    8,442.40x = 86,139,833.38
  5. Step 5: Solve for x
    x = 86,139,833.38/8,442.40
  6. Step 6: Final answer
    x = 10,203.24

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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.