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Finding the Fourth Proportional to 4,710.96, 6,507.54 and 4,678.16

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Solution

The fourth proportional to 4,710.96, 6,507.54 and 4,678.16 is: 6,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.96 : 6,507.54 = 4,678.16 : x
  2. Step 2: Convert to fraction form
    4,710.96/6,507.54 = 4,678.16/x
  3. Step 3: Cross multiply
    4,710.96x = 6,507.54 × 4,678.16
  4. Step 4: Simplify right side
    4,710.96x = 30,443,280.79
  5. Step 5: Solve for x
    x = 30,443,280.79/4,710.96
  6. Step 6: Final answer
    x = 6,462.22

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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.