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Finding the Fourth Proportional to 24,842.16, 37,262.48 and 7,312.32

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Solution

The fourth proportional to 24,842.16, 37,262.48 and 7,312.32 is: 10,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.16 : 37,262.48 = 7,312.32 : x
  2. Step 2: Convert to fraction form
    24,842.16/37,262.48 = 7,312.32/x
  3. Step 3: Cross multiply
    24,842.16x = 37,262.48 × 7,312.32
  4. Step 4: Simplify right side
    24,842.16x = 272,475,177.75
  5. Step 5: Solve for x
    x = 272,475,177.75/24,842.16
  6. Step 6: Final answer
    x = 10,968.26

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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.