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Finding the Fourth Proportional to 9,832.47, 14,748.09 and 6,547.52

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Solution

The fourth proportional to 9,832.47, 14,748.09 and 6,547.52 is: 9,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.47 : 14,748.09 = 6,547.52 : x
  2. Step 2: Convert to fraction form
    9,832.47/14,748.09 = 6,547.52/x
  3. Step 3: Cross multiply
    9,832.47x = 14,748.09 × 6,547.52
  4. Step 4: Simplify right side
    9,832.47x = 96,563,340.50
  5. Step 5: Solve for x
    x = 96,563,340.50/9,832.47
  6. Step 6: Final answer
    x = 9,820.86

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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.