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Finding the Fourth Proportional to 9,703.68, 14,555.52 and 6,437.64

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Solution

The fourth proportional to 9,703.68, 14,555.52 and 6,437.64 is: 9,656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.68 : 14,555.52 = 6,437.64 : x
  2. Step 2: Convert to fraction form
    9,703.68/14,555.52 = 6,437.64/x
  3. Step 3: Cross multiply
    9,703.68x = 14,555.52 × 6,437.64
  4. Step 4: Simplify right side
    9,703.68x = 93,703,197.77
  5. Step 5: Solve for x
    x = 93,703,197.77/9,703.68
  6. Step 6: Final answer
    x = 9,656.46

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Similar ratio
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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.