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Finding the Fourth Proportional to 7,052.60, 9,712.90 and 6,899.52

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Solution

The fourth proportional to 7,052.60, 9,712.90 and 6,899.52 is: 9,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.60 : 9,712.90 = 6,899.52 : x
  2. Step 2: Convert to fraction form
    7,052.60/9,712.90 = 6,899.52/x
  3. Step 3: Cross multiply
    7,052.60x = 9,712.90 × 6,899.52
  4. Step 4: Simplify right side
    7,052.60x = 67,014,347.81
  5. Step 5: Solve for x
    x = 67,014,347.81/7,052.60
  6. Step 6: Final answer
    x = 9,502.08

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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.