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Finding the Fourth Proportional to 7,070.48, 9,764.52 and 5,299.28

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Solution

The fourth proportional to 7,070.48, 9,764.52 and 5,299.28 is: 7,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.48 : 9,764.52 = 5,299.28 : x
  2. Step 2: Convert to fraction form
    7,070.48/9,764.52 = 5,299.28/x
  3. Step 3: Cross multiply
    7,070.48x = 9,764.52 × 5,299.28
  4. Step 4: Simplify right side
    7,070.48x = 51,744,925.55
  5. Step 5: Solve for x
    x = 51,744,925.55/7,070.48
  6. Step 6: Final answer
    x = 7,318.45

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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.