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Finding the Fourth Proportional to 9,547.30, 14,308.80 and 4,606.30

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Solution

The fourth proportional to 9,547.30, 14,308.80 and 4,606.30 is: 6,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.30 : 14,308.80 = 4,606.30 : x
  2. Step 2: Convert to fraction form
    9,547.30/14,308.80 = 4,606.30/x
  3. Step 3: Cross multiply
    9,547.30x = 14,308.80 × 4,606.30
  4. Step 4: Simplify right side
    9,547.30x = 65,910,625.44
  5. Step 5: Solve for x
    x = 65,910,625.44/9,547.30
  6. Step 6: Final answer
    x = 6,903.59

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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.