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Finding the Fourth Proportional to 9,924.48, 14,875.20 and 8,772.48

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Solution

The fourth proportional to 9,924.48, 14,875.20 and 8,772.48 is: 13,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.48 : 14,875.20 = 8,772.48 : x
  2. Step 2: Convert to fraction form
    9,924.48/14,875.20 = 8,772.48/x
  3. Step 3: Cross multiply
    9,924.48x = 14,875.20 × 8,772.48
  4. Step 4: Simplify right side
    9,924.48x = 130,492,394.50
  5. Step 5: Solve for x
    x = 130,492,394.50/9,924.48
  6. Step 6: Final answer
    x = 13,148.54

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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.