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Finding the Fourth Proportional to 7,783.68, 10,737.84 and 5,265

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Solution

The fourth proportional to 7,783.68, 10,737.84 and 5,265 is: 7,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.68 : 10,737.84 = 5,265 : x
  2. Step 2: Convert to fraction form
    7,783.68/10,737.84 = 5,265/x
  3. Step 3: Cross multiply
    7,783.68x = 10,737.84 × 5,265
  4. Step 4: Simplify right side
    7,783.68x = 56,534,727.60
  5. Step 5: Solve for x
    x = 56,534,727.60/7,783.68
  6. Step 6: Final answer
    x = 7,263.24

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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.