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Finding the Fourth Proportional to 9,807.30, 14,686.65 and 7,328.70

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Solution

The fourth proportional to 9,807.30, 14,686.65 and 7,328.70 is: 10,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.30 : 14,686.65 = 7,328.70 : x
  2. Step 2: Convert to fraction form
    9,807.30/14,686.65 = 7,328.70/x
  3. Step 3: Cross multiply
    9,807.30x = 14,686.65 × 7,328.70
  4. Step 4: Simplify right side
    9,807.30x = 107,634,051.86
  5. Step 5: Solve for x
    x = 107,634,051.86/9,807.30
  6. Step 6: Final answer
    x = 10,974.89

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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.