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Finding the Fourth Proportional to 9,798.52, 14,684.57 and 5,345.24

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Solution

The fourth proportional to 9,798.52, 14,684.57 and 5,345.24 is: 8,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.52 : 14,684.57 = 5,345.24 : x
  2. Step 2: Convert to fraction form
    9,798.52/14,684.57 = 5,345.24/x
  3. Step 3: Cross multiply
    9,798.52x = 14,684.57 × 5,345.24
  4. Step 4: Simplify right side
    9,798.52x = 78,492,538.41
  5. Step 5: Solve for x
    x = 78,492,538.41/9,798.52
  6. Step 6: Final answer
    x = 8,010.65

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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.