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Finding the Fourth Proportional to 6,565.66, 9,852.57 and 4,783.42

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Solution

The fourth proportional to 6,565.66, 9,852.57 and 4,783.42 is: 7,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.66 : 9,852.57 = 4,783.42 : x
  2. Step 2: Convert to fraction form
    6,565.66/9,852.57 = 4,783.42/x
  3. Step 3: Cross multiply
    6,565.66x = 9,852.57 × 4,783.42
  4. Step 4: Simplify right side
    6,565.66x = 47,128,992.71
  5. Step 5: Solve for x
    x = 47,128,992.71/6,565.66
  6. Step 6: Final answer
    x = 7,178.11

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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.