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Finding the Fourth Proportional to 15,762.60, 23,643.90 and 6,407.10

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Solution

The fourth proportional to 15,762.60, 23,643.90 and 6,407.10 is: 9,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.60 : 23,643.90 = 6,407.10 : x
  2. Step 2: Convert to fraction form
    15,762.60/23,643.90 = 6,407.10/x
  3. Step 3: Cross multiply
    15,762.60x = 23,643.90 × 6,407.10
  4. Step 4: Simplify right side
    15,762.60x = 151,488,831.69
  5. Step 5: Solve for x
    x = 151,488,831.69/15,762.60
  6. Step 6: Final answer
    x = 9,610.65

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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.