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Finding the Fourth Proportional to 9,752.70, 13,457.88 and 5,503.55

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Solution

The fourth proportional to 9,752.70, 13,457.88 and 5,503.55 is: 7,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.70 : 13,457.88 = 5,503.55 : x
  2. Step 2: Convert to fraction form
    9,752.70/13,457.88 = 5,503.55/x
  3. Step 3: Cross multiply
    9,752.70x = 13,457.88 × 5,503.55
  4. Step 4: Simplify right side
    9,752.70x = 74,066,048.18
  5. Step 5: Solve for x
    x = 74,066,048.18/9,752.70
  6. Step 6: Final answer
    x = 7,594.41

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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.