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Finding the Fourth Proportional to 9,497.71, 13,088.32 and 6,840.10

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Solution

The fourth proportional to 9,497.71, 13,088.32 and 6,840.10 is: 9,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.71 : 13,088.32 = 6,840.10 : x
  2. Step 2: Convert to fraction form
    9,497.71/13,088.32 = 6,840.10/x
  3. Step 3: Cross multiply
    9,497.71x = 13,088.32 × 6,840.10
  4. Step 4: Simplify right side
    9,497.71x = 89,525,417.63
  5. Step 5: Solve for x
    x = 89,525,417.63/9,497.71
  6. Step 6: Final answer
    x = 9,426.00

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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.