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Finding the Fourth Proportional to 9,854.68, 14,762.58 and 7,392.28

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Solution

The fourth proportional to 9,854.68, 14,762.58 and 7,392.28 is: 11,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.68 : 14,762.58 = 7,392.28 : x
  2. Step 2: Convert to fraction form
    9,854.68/14,762.58 = 7,392.28/x
  3. Step 3: Cross multiply
    9,854.68x = 14,762.58 × 7,392.28
  4. Step 4: Simplify right side
    9,854.68x = 109,129,124.88
  5. Step 5: Solve for x
    x = 109,129,124.88/9,854.68
  6. Step 6: Final answer
    x = 11,073.84

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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.