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Finding the Fourth Proportional to 6,783.35, 9,354.78 and 4,655.13

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Solution

The fourth proportional to 6,783.35, 9,354.78 and 4,655.13 is: 6,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.35 : 9,354.78 = 4,655.13 : x
  2. Step 2: Convert to fraction form
    6,783.35/9,354.78 = 4,655.13/x
  3. Step 3: Cross multiply
    6,783.35x = 9,354.78 × 4,655.13
  4. Step 4: Simplify right side
    6,783.35x = 43,547,670.25
  5. Step 5: Solve for x
    x = 43,547,670.25/6,783.35
  6. Step 6: Final answer
    x = 6,419.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.