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Finding the Fourth Proportional to 6,587.53, 9,866.64 and 4,733.07

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Solution

The fourth proportional to 6,587.53, 9,866.64 and 4,733.07 is: 7,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.53 : 9,866.64 = 4,733.07 : x
  2. Step 2: Convert to fraction form
    6,587.53/9,866.64 = 4,733.07/x
  3. Step 3: Cross multiply
    6,587.53x = 9,866.64 × 4,733.07
  4. Step 4: Simplify right side
    6,587.53x = 46,699,478.53
  5. Step 5: Solve for x
    x = 46,699,478.53/6,587.53
  6. Step 6: Final answer
    x = 7,089.08

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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.