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Finding the Fourth Proportional to 6,459.60, 8,897.64 and 4,567.92

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Solution

The fourth proportional to 6,459.60, 8,897.64 and 4,567.92 is: 6,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.60 : 8,897.64 = 4,567.92 : x
  2. Step 2: Convert to fraction form
    6,459.60/8,897.64 = 4,567.92/x
  3. Step 3: Cross multiply
    6,459.60x = 8,897.64 × 4,567.92
  4. Step 4: Simplify right side
    6,459.60x = 40,643,707.71
  5. Step 5: Solve for x
    x = 40,643,707.71/6,459.60
  6. Step 6: Final answer
    x = 6,291.99

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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.