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Finding the Fourth Proportional to 9,793.54, 14,607.64 and 8,316.10

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Solution

The fourth proportional to 9,793.54, 14,607.64 and 8,316.10 is: 12,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.54 : 14,607.64 = 8,316.10 : x
  2. Step 2: Convert to fraction form
    9,793.54/14,607.64 = 8,316.10/x
  3. Step 3: Cross multiply
    9,793.54x = 14,607.64 × 8,316.10
  4. Step 4: Simplify right side
    9,793.54x = 121,478,595.00
  5. Step 5: Solve for x
    x = 121,478,595.00/9,793.54
  6. Step 6: Final answer
    x = 12,403.95

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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.