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Finding the Fourth Proportional to 9,653.20, 14,458.20 and 9,437.20

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Solution

The fourth proportional to 9,653.20, 14,458.20 and 9,437.20 is: 14,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.20 : 14,458.20 = 9,437.20 : x
  2. Step 2: Convert to fraction form
    9,653.20/14,458.20 = 9,437.20/x
  3. Step 3: Cross multiply
    9,653.20x = 14,458.20 × 9,437.20
  4. Step 4: Simplify right side
    9,653.20x = 136,444,925.04
  5. Step 5: Solve for x
    x = 136,444,925.04/9,653.20
  6. Step 6: Final answer
    x = 14,134.68

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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.