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Finding the Fourth Proportional to 9,778.08, 14,595.96 and 9,056.16

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Solution

The fourth proportional to 9,778.08, 14,595.96 and 9,056.16 is: 13,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.08 : 14,595.96 = 9,056.16 : x
  2. Step 2: Convert to fraction form
    9,778.08/14,595.96 = 9,056.16/x
  3. Step 3: Cross multiply
    9,778.08x = 14,595.96 × 9,056.16
  4. Step 4: Simplify right side
    9,778.08x = 132,183,349.11
  5. Step 5: Solve for x
    x = 132,183,349.11/9,778.08
  6. Step 6: Final answer
    x = 13,518.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.