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Finding the Fourth Proportional to 9,234.90, 13,842.90 and 4,547.70

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Solution

The fourth proportional to 9,234.90, 13,842.90 and 4,547.70 is: 6,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.90 : 13,842.90 = 4,547.70 : x
  2. Step 2: Convert to fraction form
    9,234.90/13,842.90 = 4,547.70/x
  3. Step 3: Cross multiply
    9,234.90x = 13,842.90 × 4,547.70
  4. Step 4: Simplify right side
    9,234.90x = 62,953,356.33
  5. Step 5: Solve for x
    x = 62,953,356.33/9,234.90
  6. Step 6: Final answer
    x = 6,816.90

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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.